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Mathematics 18 Online
OpenStudy (anonymous):

@iPwnBunnies

OpenStudy (anonymous):

OpenStudy (ipwnbunnies):

This is simple. We're gonna break it up into two parts. Can you find the area of the rectangle?

OpenStudy (anonymous):

can you tell me how to?

OpenStudy (ipwnbunnies):

The area of a rectangle = length * width

OpenStudy (anonymous):

how do i find the length and the width?

OpenStudy (ipwnbunnies):

They're given...

OpenStudy (anonymous):

:/

OpenStudy (anonymous):

oh

OpenStudy (anonymous):

area is 160

OpenStudy (ipwnbunnies):

Good, we found the area of the rectangle. Do you know how to find the area of a circle?

OpenStudy (anonymous):

pie times radius??

OpenStudy (ipwnbunnies):

Almost. Area = pi*r^2

OpenStudy (anonymous):

ok

OpenStudy (ipwnbunnies):

Do you see that one side of the triangle makes up the diameter of that semicircle?

OpenStudy (ipwnbunnies):

one side of the rectangle** lol

OpenStudy (anonymous):

isnt the radius half of a number?

OpenStudy (ipwnbunnies):

Yes, the radius is half of the diameter. What would the radius of our semicircle be?

OpenStudy (anonymous):

5?? because 5 is half of 10

OpenStudy (ipwnbunnies):

No, try again. The right side of the rectangle makes the diameter of the semicircle. The right side has to be congruent to the left side.

OpenStudy (anonymous):

16 because 8 is half of 16

OpenStudy (ipwnbunnies):

There ya go! So the radius of our semicircle is 8 cm. However, the formula for the area of the circle is for an entire circle, not half a circle. But it's ok. Can you find the area of the entire circle, if there was one? Use the formula A = pi*r^2

OpenStudy (anonymous):

im confused now

OpenStudy (ipwnbunnies):

Sorry, big wall of text lol. What would the area of a circle be with radius 8?

OpenStudy (anonymous):

201.06/?

OpenStudy (anonymous):

thats the answer i got for the problem

OpenStudy (ipwnbunnies):

Right for that part. But you see, that would be the area of a WHOLE circle. We have half a circle with radius 8. What can you do to your answer to get the area of the semicircle?

OpenStudy (anonymous):

split it??

OpenStudy (ipwnbunnies):

What do you mean? lol|dw:1396146655710:dw|

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