narutouzamaki2:
https://hcbe.owschools.com/media/g_mat07_ccss_2016/9/img_composite_figure_5.gif What does the perimeter of this figure consist of? one semicircle and two line segments one semicircle and one line segment two semicircles and one line segment two semicircles and two line segments
jimthompson5910:
What are your thoughts on it?
narutouzamaki2:
idk
jimthompson5910:
If we erase the curved left and right edges, we end up with this |dw:1613079023676:dw|
jimthompson5910:
adding in those curved portions back in gets us this |dw:1613079067057:dw|
jimthompson5910:
Though we won't consider these shaded portions |dw:1613079146101:dw| since they are not on the exterior when we add on the curved portions
jimthompson5910:
The perimeter only deals with the exterior sides
narutouzamaki2:
so will we be usind base and hight
jimthompson5910:
we have these two straight segment portions |dw:1613079322746:dw|
jimthompson5910:
and these two curved portions |dw:1613079357587:dw|
narutouzamaki2:
so is the 12 the base and the 4 the hight
jimthompson5910:
for the rectangle, yes
narutouzamaki2:
and were going for perimiter right
jimthompson5910:
yes the outer edges
narutouzamaki2:
ok so would there be another side
jimthompson5910:
Another side?
narutouzamaki2:
im srry im just confused because every things happening to my family
jimthompson5910:
The original figure is composed of two straight line segments along the top and bottom, and curved pieces on either side So that's why the answer is `two semicircles and two line segments` We do not consider the vertical dashed segments because they are not on the outside portion
narutouzamaki2:
ok
narutouzamaki2:
alright and i have one more thing
jimthompson5910:
Whats that
narutouzamaki2:
ok so we will be using the same picture ok
narutouzamaki2:
What is the total perimeter of this figure? 24.56 ft 36.56 ft 30.28 ft 24.28 ft
jimthompson5910:
The two curved portions can be combined together to form a full circle. Do you agree?
narutouzamaki2:
yes i agree
jimthompson5910:
What is the circumference of the circle?
narutouzamaki2:
ummmm
narutouzamaki2:
thats a big word
narutouzamaki2:
idk
jimthompson5910:
The perimeter around the circle
jimthompson5910:
circumference = perimeter around the circle
narutouzamaki2:
idk
jimthompson5910:
You'll use the formula C = pi*d where, C = circumference d = diameter
narutouzamaki2:
how could there be a perimeter around a circle
narutouzamaki2:
when its round
jimthompson5910:
imagine you wrapped a string around the circle, or used a cloth tape measure. That's what we're measuring here
narutouzamaki2:
ok so if we used the measuring tape we would go off inches right
jimthompson5910:
in this case, we're using feet
narutouzamaki2:
ok
jimthompson5910:
So what we do is use this formula C = pi*d we can use pi = 3.14 d = 4
jimthompson5910:
So C = pi*d C = 3.14*4 C = 12.56 Thats the distance around the circle, measured in feet. This is approximate.
narutouzamaki2:
wait when i look back on the picture the is 2 right angles https://hcbe.owschools.com/media/g_mat07_ccss_2016/9/img_composite_figure_5.gif
jimthompson5910:
That isn't the final answer. You'll need to add on the straight line portions
jimthompson5910:
don't worry about the angles
narutouzamaki2:
ok
jimthompson5910:
how long are the straight line portions?
narutouzamaki2:
so how would u even get the tottle perimeter
jimthompson5910:
The straight line portions are 12 ft each, agreed?
narutouzamaki2:
yes
narutouzamaki2:
and the sides will be 4 ft right
jimthompson5910:
We would add two copies of 12 onto the 12.56 we found earlier 12.56+12+12 = 36.56 The final answer is 36.56 feet This is the distance around the entire track Imagine we had a string roughly 36.56 ft long. We can glue the string down to the track so that it fits the exact shape shown.
narutouzamaki2:
0k
narutouzamaki2:
ok so what if we did the same way but on this shape though https://hcbe.owschools.com/media/g_mat07_ccss_2016/9/img_composite_figure_7.gif
jimthompson5910:
It's the same idea. The only difference is that the bottom curved portion is caved in, instead of popping out.
narutouzamaki2:
If the radius of one of the semicircles is 7 meters, what is the perimeter of the figure? 47.98 m 36.99 m 69.96 m 56.96 m and heres answers
jimthompson5910:
radius = 7 leads to diameter = 14 you double the radius to get the diameter
jimthompson5910:
Now use the formula C = pi*d pi = 3.14 d = 14 C = ???
narutouzamaki2:
so will we be multiply ing it
jimthompson5910:
yes
jimthompson5910:
3.14 times 14 = ??
narutouzamaki2:
ok the answer is 43.96
jimthompson5910:
Thats just the curved portions. Don't forget about the straight portions
narutouzamaki2:
or did i get it wrong
jimthompson5910:
you'll need to add on two copies of 13
narutouzamaki2:
so it would be 26
jimthompson5910:
yeah add on 26
narutouzamaki2:
so u add those to it right
narutouzamaki2:
so if u add it it would be 69.96
jimthompson5910:
69.96 is the answer, yes
narutouzamaki2:
ok
narutouzamaki2:
so back to the skate bord one
narutouzamaki2:
What is the circumference of one of the semicircles in this figure? 6.28 ft 12.56 ft 25.12 ft 50.24 ft
jimthompson5910:
12.56 was the distance around the full circle but we want just half of that this is because semicircle = half circle
narutouzamaki2:
so we divide it right
jimthompson5910:
yes divide by 2
narutouzamaki2:
e cut it in half
narutouzamaki2:
we
narutouzamaki2:
and when we divide it we get 6.28 right
jimthompson5910:
yes 6.28
narutouzamaki2:
so back to the other one
narutouzamaki2:
If the radius of one of the semicircles is 7 meters, what is the circumference of one of the semicircles? 21.98 m 10.99 m 43.96 m 87.92 m
jimthompson5910:
Tell me your thoughts on it
narutouzamaki2:
so and theres only one circle
narutouzamaki2:
u can make
jimthompson5910:
how would you find the distance around the full circle?
jimthompson5910:
circle with radius 7
narutouzamaki2:
by perimeter right
jimthompson5910:
do you agree you use C = pi*d ?
narutouzamaki2:
u measure around the circle
narutouzamaki2:
explane the formula u are useing
jimthompson5910:
we multiply pi with the diameter
jimthompson5910:
pi = 3.14 approximately
narutouzamaki2:
so we times it by 7
jimthompson5910:
7 is the radius, not the diameter
jimthompson5910:
double the radius to get the diameter
narutouzamaki2:
so the radiuse is 14
jimthompson5910:
diameter = 14
jimthompson5910:
C = pi*d C = 3.14*14 C = ??
narutouzamaki2:
so we mutiply them both and u get 43.96
jimthompson5910:
thats the distance around the full circle, but we only want half of that
jimthompson5910:
since we want the semicircle distance
narutouzamaki2:
so we divide it by 2
jimthompson5910:
yes
narutouzamaki2:
and that would be 21.98
jimthompson5910:
correct
narutouzamaki2:
and thats the answer
narutouzamaki2:
now the new shape comes in
narutouzamaki2:
If the diameter of the semicircle is 1.7 centimeters, what is the circumference of the semicircle? 5.338 cm 10.676 cm 2.669 cm 1.3345 cm
jimthompson5910:
how long is the diagonal piece? the dashed line
jimthompson5910:
hint: pythagorean theorem
narutouzamaki2:
so we have have a circle and a right angle
jimthompson5910:
for now, let's ignore the curved part
jimthompson5910:
|dw:1613082101035:dw|
narutouzamaki2:
so if we take the half the circle out we get a triangle
jimthompson5910:
what is the value of x in that diagram?
narutouzamaki2:
ig 24
narutouzamaki2:
or is it same thing 12
jimthompson5910:
no, you'll need the pythagorean theorem
narutouzamaki2:
whats that
jimthompson5910:
a^2 + b^2 = c^2 12^2 + 12^2 = x^2 x = ??
narutouzamaki2:
im lostwhats that
narutouzamaki2:
im in 7 not 12
narutouzamaki2:
theres noway i can do that
jimthompson5910:
has your teacher talked about the pythagorean theorem at all?
narutouzamaki2:
no
jimthompson5910:
it seems strange to ask a question you haven't covered yet. I would bring it up with the teacher
narutouzamaki2:
ook
narutouzamaki2:
well can u help me figure it out in a simple way
jimthompson5910:
I'll try to think of a different approach
narutouzamaki2:
there has to be a short cut to get the answer
narutouzamaki2:
right
narutouzamaki2:
theres has to be
narutouzamaki2:
u there
narutouzamaki2:
ig not
jimthompson5910:
Sorry I was looking for a shortcut, but I'm not seeing any so far
jimthompson5910:
Are you able to contact your teacher?
narutouzamaki2:
shes not replying i can skip that question the rest are not 12 grade stuff so
jimthompson5910:
alright
narutouzamaki2:
What is the total perimeter of this figure? Express your answer in feet. 64.26 ft 49.26 ft 76.26 ft 104.52 ft
jimthompson5910:
Whats the distance around the curved portion?
narutouzamaki2:
what are u talking about
jimthompson5910:
In the diagram you posted
narutouzamaki2:
yeah
jimthompson5910:
whats the perimeter of the semicircle?
narutouzamaki2:
if im not mistaking the cutting line is 6 yds right
jimthompson5910:
yes the dashed line is 6 yards long
jimthompson5910:
consider a full circle with diameter 6 whats the distance around the full circle? what's half that distance?
narutouzamaki2:
ok so what will be the perimeter of the semi circle
jimthompson5910:
use C = pi*d
jimthompson5910:
that will get you the full circle perimeter
jimthompson5910:
then of course you cut that in half
narutouzamaki2:
and how do i use that formula
jimthompson5910:
multiply pi and the diameter
narutouzamaki2:
so the diameter is
narutouzamaki2:
6 right
jimthompson5910:
yes
narutouzamaki2:
ok so u double it right
narutouzamaki2:
and itwould be 12
jimthompson5910:
6 is the diameter, we dont need to double it
narutouzamaki2:
oh ok
jimthompson5910:
its only if we have the radius and we want to find the diameter, is when we double
narutouzamaki2:
so now we need to figure what the other number is
narutouzamaki2:
soo we have 6
jimthompson5910:
pi = 3.14
narutouzamaki2:
so we times it or divide it
jimthompson5910:
C = pi*d C = 3.14*6 C = ??
narutouzamaki2:
so if we times it the answer will be 18.84 right
jimthompson5910:
yes, now we cut that in half because we only want the semicircle (not full circle) distance
narutouzamaki2:
so we divide it by 2
jimthompson5910:
yes
narutouzamaki2:
and itwould be 9.42
jimthompson5910:
correct, now add that onto the straight line portions of the diagram
jimthompson5910:
ignore the dashed line
narutouzamaki2:
so we add 15 plus 9.42 am i right
jimthompson5910:
wait
narutouzamaki2:
what
jimthompson5910:
we'll need to convert 15 ft to yards first
jimthompson5910:
we can't add two different units without conversion
narutouzamaki2:
so how do we do that
jimthompson5910:
1 yard = 3 ft 5 yards = 15 ft (multiply both sides by 5) So 15 ft is the same as 5 yards
jimthompson5910:
so the vertical portions are 5 yards each
jimthompson5910:
now you can add up the straight line portions to the curved portion found earlier
narutouzamaki2:
so it would be 5 yards right
jimthompson5910:
yeah you'll have 2 copies of 5 yards
jimthompson5910:
for the two vertical sides
narutouzamaki2:
so we mutiply it by 2
narutouzamaki2:
and it would be 25 yards
jimthompson5910:
we add up the four sides 5+5+6+9.42 = 25.42 This is the total perimeter in yards Multiply by 3 to convert to feet 25.42*3 = 76.26 The final answer is 76.26 ft
narutouzamaki2:
wow i feel like im getting smarter by this one question
narutouzamaki2:
now back to the 12 grade one
narutouzamaki2:
What does the perimeter of this figure consist of? one semicircle and one line segment one semicircle and two line segments one semicircle and three line segments two semicircles and two line segments
jimthompson5910:
`one semicircle and two line segments` The semicircle part is the curved portion The two segments are the vertical and horizontal straight pieces
narutouzamaki2:
now for the one we were just on What does the perimeter of this figure consist of? one semicircle and four line segments one semicircle and two line segments one semicircle and three line segments one semicircle and one line segment
jimthompson5910:
Your thoughts?
jimthompson5910:
hint: ignore the dashed line
narutouzamaki2:
ik its i semi circle and three line segments right
narutouzamaki2:
what do u think
jimthompson5910:
correct
narutouzamaki2:
What is the circumference of the semicircle in this figure? Express your answer in feet. 18.84 ft 6.28 ft 56.52 ft 28.26 ft
narutouzamaki2:
now ik it would be 18.84 what do u think
narutouzamaki2:
am i correct
jimthompson5910:
remember 18.84 was the full distance around this circle, but we only want half of it
narutouzamaki2:
oh ok ig im wrong i was a little to Oreosy
narutouzamaki2:
coky
narutouzamaki2:
ik i spelled it wrong
narutouzamaki2:
back to question
narutouzamaki2:
so we divide it by 2
jimthompson5910:
yes
narutouzamaki2:
and we will get 9.42 am i right
jimthompson5910:
correct
narutouzamaki2:
so now what
jimthompson5910:
9.42 is the answer
jimthompson5910:
wait, I keep forgetting to convert
jimthompson5910:
multiply by 3 to convert from yards to feet
narutouzamaki2:
it cant be cause its not one of the answers on the thing
jimthompson5910:
9.42*3 = ??
narutouzamaki2:
it would be 28.26
narutouzamaki2:
now thats the answer
narutouzamaki2:
wow i got 76
narutouzamaki2:
thx alot
narutouzamaki2:
i hope u can be my teacher again some day
jimthompson5910:
no problem
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