## If the circle above has center $$A$$ and area $$144\pi,$$ what is the perimeter of sector $$ABCD?$$

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### If the circle above has center $$A$$ and area $$144\pi,$$ what is the perimeter of sector $$ABCD?$$

by VJesus12 » Wed Aug 18, 2021 7:34 am

00:00

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## Global Stats If the circle above has center $$A$$ and area $$144\pi,$$ what is the perimeter of sector $$ABCD?$$

A. $$12+\dfrac3{2\pi}$$

B. $$12+3\pi$$

C. $$18+\dfrac3{2\pi}$$

D. $$24+\dfrac3{2\pi}$$

E. $$24+3\pi$$

Source: Veritas Prep

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### Re: If the circle above has center $$A$$ and area $$144\pi,$$ what is the perimeter of sector $$ABCD?$$

by swerve » Wed Aug 18, 2021 1:24 pm
VJesus12 wrote:
Wed Aug 18, 2021 7:34 am
CircleA.png

If the circle above has center $$A$$ and area $$144\pi,$$ what is the perimeter of sector $$ABCD?$$

A. $$12+\dfrac3{2\pi}$$

B. $$12+3\pi$$

C. $$18+\dfrac3{2\pi}$$

D. $$24+\dfrac3{2\pi}$$

E. $$24+3\pi$$

Radius of the circle $$= 12$$
Circumference of the circle $$= 24\pi$$
perimeter of sector $$ABCD =$$ (Radius $$* 2$$) $$+ \dfrac{45}{360}\ast 24 \pi = 24+3\pi$$