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Mathematics 24 Online
OpenStudy (queenof17):

.

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

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

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 ?

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 ?

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

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?

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

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 ?

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

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\[77.5cm ^{2}\]

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 ?

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

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?

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

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?

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

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

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 ?

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

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

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