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jhonyy9 (jhonyy9):
???
jhonyy9 (jhonyy9):
yes for exercise 6 and 7 and think yes - ok. ?
OpenStudy (queenof17):
okay!
jhonyy9 (jhonyy9):
so we start with 6.
there are 3 semicircle - yes ?
do you can calculi area of these semicircle ?
OpenStudy (queenof17):
Are the semi circles the top 2 shaded areas
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jhonyy9 (jhonyy9):
and so easy you can calculi area of this triangle from the center of this figure - yes ?
because this is a right triangle with dimensions of diameters of these semicircles
OpenStudy (queenof17):
are the semi circles the two top shaded areas?
jhonyy9 (jhonyy9):
i saying about exercise 6 now - ok. ?
OpenStudy (queenof17):
oh- sorry I thought we were doing 5
OpenStudy (queenof17):
okay i'll calculate the semicircles
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OpenStudy (queenof17):
For the semi circles I got 14.10 and 25.12
jhonyy9 (jhonyy9):
why just two when there are 3 semicircles ?
OpenStudy (queenof17):
Sorry let me do the other
OpenStudy (queenof17):
39.25
jhonyy9 (jhonyy9):
area of a circle is pi*r^2 so for a semicircle will be pi*r^2 /2
used this ?
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OpenStudy (queenof17):
yes
OpenStudy (queenof17):
I got 39.25, 25.12, and 14.10 for each semi circle.
jhonyy9 (jhonyy9):
ok. so area for semicircle with radius 5 is 39,25 for with radius 4 is 25,12 and with radius 3 is 14.10
yes ?
OpenStudy (queenof17):
yes
jhonyy9 (jhonyy9):
ok. now you need calculi area of this triangle - do you can ?
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jhonyy9 (jhonyy9):
this is a right triangle
jhonyy9 (jhonyy9):
with base length 8 and height 6
OpenStudy (queenof17):
24
jhonyy9 (jhonyy9):
do you see it why ?
jhonyy9 (jhonyy9):
24 yes exactly
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OpenStudy (queenof17):
yes because 3 is half the length of one side and 4 is the other
jhonyy9 (jhonyy9):
yes - right
OpenStudy (queenof17):
what do I do next
jhonyy9 (jhonyy9):
so for you get area of this shaded region you need assuming area of these semicircles and area of this triangle and after you get this result so from this you need subtracting area of these white triangles
ok. ?
OpenStudy (queenof17):
okay, how to I find the area of the white triangles?
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jhonyy9 (jhonyy9):
these are right triangles - so areas of them is easy to calculi - yes ?
OpenStudy (queenof17):
would it be 5x5 divided by 2 for the top one
jhonyy9 (jhonyy9):
exactly
OpenStudy (queenof17):
so total it would be 24.75
jhonyy9 (jhonyy9):
you calculed it right ? i belive you
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OpenStudy (queenof17):
for my answer I got 77.75 cm
jhonyy9 (jhonyy9):
but this is the sum of areas of semicircles - yes ?
OpenStudy (queenof17):
yes
jhonyy9 (jhonyy9):
this 24,75
jhonyy9 (jhonyy9):
and area of this triangle ?
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OpenStudy (queenof17):
which one?
OpenStudy (queenof17):
i have all the measures how do I find the area of the shaded part?
jhonyy9 (jhonyy9):
sorry - this 24,75 is area of these white triangles
OpenStudy (queenof17):
yes
OpenStudy (queenof17):
actually I just got 25
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OpenStudy (queenof17):
that's the sum of all the triangles
jhonyy9 (jhonyy9):
ok
so now you need assuming these area of these semicircle and the area of this triangle from the center of this figure
and from this result you need subtracting the sum of areas of these white triangles
right ?
OpenStudy (queenof17):
yes
OpenStudy (queenof17):
okay I got 77.5
OpenStudy (queenof17):
cm\[77.5cm ^{2}\]
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jhonyy9 (jhonyy9):
77,5 for what ?
OpenStudy (queenof17):
my answer
jhonyy9 (jhonyy9):
you have made it how i ve said above ?
OpenStudy (queenof17):
yes
jhonyy9 (jhonyy9):
and there in your math book this is the right answer too ?
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OpenStudy (queenof17):
I just checked yes it's correct
jhonyy9 (jhonyy9):
ok. so now this mean that you understand it right sure how you need solve it this exercise 6
yes ?
OpenStudy (queenof17):
yes, thank you very very much
jhonyy9 (jhonyy9):
but now we can starting again with exercise 7 - do you like it ?
but was my pleasure and anytime
so we start with 7 ?
OpenStudy (queenof17):
yes and actually number 5
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jhonyy9 (jhonyy9):
sorry but with nr. 5 i m not sure
jhonyy9 (jhonyy9):
but i will can try it with nr. 5 too
so how you like it now we start with 7 or 5 ?
OpenStudy (queenof17):
5 if it is no trouble with you
jhonyy9 (jhonyy9):
ok.
OpenStudy (queenof17):
where should I start?
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jhonyy9 (jhonyy9):
just a moment
OpenStudy (queenof17):
okay
jhonyy9 (jhonyy9):
we start with part of the top - the semicircle from the top
so there is a triangle with base length equal 4 +4
and the height equal with the length of radius so 4 too
yes ?
OpenStudy (queenof17):
yes
jhonyy9 (jhonyy9):
so area of this triangle you can calculi it easy
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OpenStudy (queenof17):
yes both would be 8
jhonyy9 (jhonyy9):
yes but you need getting area of this great white triangle not separate
OpenStudy (queenof17):
okay, so 16
jhonyy9 (jhonyy9):
exactly save it please
and now than you know that the length of radius is 4 so how many will be the area of this semicircle from the top ?
OpenStudy (queenof17):
how to I figure that out?
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jhonyy9 (jhonyy9):
there is a semicircle with this white triangle - yes ?
OpenStudy (queenof17):
yes-
jhonyy9 (jhonyy9):
so you ve got area of this white triangle and now you need calculi area of this semicircle
OpenStudy (queenof17):
okay, how do i find that? what's the formula
jhonyy9 (jhonyy9):
you ve used it in case of your past exercise pir^2 / 2
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OpenStudy (queenof17):
okay, never mind
OpenStudy (queenof17):
25.12
OpenStudy (queenof17):
that's for half the semi circle
jhonyy9 (jhonyy9):
ok.
so for you get these areas of these shaded parts from the left and right corners just you need subtracting from the area of the semicircle the area of this white triangle
yes ?
OpenStudy (queenof17):
yes, i got 9.12
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jhonyy9 (jhonyy9):
so quickly - very nice
OpenStudy (queenof17):
thank you!
jhonyy9 (jhonyy9):
and what is with the bottom part ?
OpenStudy (queenof17):
i'm not sure, i can't figure out how to find the area of that
jhonyy9 (jhonyy9):
why ? this is easy too
looke please
hope you know that a circle has 360 degrees - yes ?
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OpenStudy (queenof17):
yes
jhonyy9 (jhonyy9):
ok so than a semicircle how many has ?
OpenStudy (queenof17):
180
jhonyy9 (jhonyy9):
exactly so now you know that the semicircle from the bottom part has 180 degrees
and from this you see that the midle part of 60 degrees is shaded - yes ?
sorry for my english but hope you understand me
OpenStudy (queenof17):
you're fine- i understand you! okay i see
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OpenStudy (queenof17):
okay the bottom shaded part would be 8.37?
OpenStudy (queenof17):
because the semi circle would be 25.12, then divide by 3
jhonyy9 (jhonyy9):
thank you
moment please
so we know that the semicircle has 180 degrees and ...
this is extraordinary - now i believe it sure that you understood it all right
this is great - so quickly you calculed it - very nice