Patty bought a "P" poster to put on her wall, as shown below.
Note: Figure is not drawn to scale
If a = 10 in, which of the following is closest to the area of the poster?
535.5 in2
275.5 in2
614 in2
https://app107.studyisland.com/pics/185151pic7.png
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OpenStudy (chosenmatt):
@iGreen
OpenStudy (chosenmatt):
@welshfella
OpenStudy (chosenmatt):
@iGreen
OpenStudy (chosenmatt):
helpplz
OpenStudy (igreen):
Okay, so we have 3/4 a circle and a rectangle.
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OpenStudy (chosenmatt):
ok
OpenStudy (igreen):
a = 10
So one of the sides of the rectangle is 10.
Plug in 10 to find the other one:
3a
3(10)
3 * 10 = ?
OpenStudy (chosenmatt):
30
OpenStudy (igreen):
Yes, so the length is 30, and the width is 10.
\(A_{Rectangle} = lw\)
\(A_{Rectangle} = (30)(10)\)
OpenStudy (igreen):
Multiply 30 and 10.
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OpenStudy (chosenmatt):
300
OpenStudy (igreen):
Yes, that's the area of the rectangle, now let's do the 3/4 circle.
OpenStudy (igreen):
For the circle, the radius is 'a' or '10'.
We can just act like it's a whole circle and find the area of it, then we can multiply by 3/4.
\(A_{Circle} = \pi r^2\)
Plug in what we know:
\(A_{Circle} = (3.14)(10)^2\)
Simplify that
OpenStudy (chosenmatt):
i got 3.14
OpenStudy (chosenmatt):
i man 314
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OpenStudy (chosenmatt):
@iGreen
OpenStudy (igreen):
Wait, nevermind..
OpenStudy (igreen):
Multiply 3/4 * 314
OpenStudy (chosenmatt):
235.5
OpenStudy (chosenmatt):
@iGreen
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OpenStudy (chosenmatt):
oh snap please hurry im almost out of time
OpenStudy (chosenmatt):
@iGreen
OpenStudy (chosenmatt):
nevermine i got it wrong
OpenStudy (igreen):
235.5 + 300
OpenStudy (igreen):
535.5
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