Circle Area

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Circle Area

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What is the area of the shaded part of this circle if the radius is 4 and it measures 2 in the shaded part the circle looks like a donut and the edible part or the outside is the shaded part

the answer is 12 please explain to me why 12 is the answer

bioschip Apr 19, 2014

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The area of the whole circle is

$A_{all}=\pi 4^2=16 \pi$

The area of the non-shaded part is

$A_{unshaded}=\pi 2^2 = 4 \pi$

The area of the shaded part is the difference of these

$A_{shaded}=A_{all}-A_{unshaded}=16\pi - 4\pi = 12 \pi$

Rom Apr 19, 2014

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Rom · Answer 1 · 2014-04-19T05:17:40

The area of the whole circle is

$A_{all}=\pi 4^2=16 \pi$

The area of the non-shaded part is

$A_{unshaded}=\pi 2^2 = 4 \pi$

The area of the shaded part is the difference of these

$A_{shaded}=A_{all}-A_{unshaded}=16\pi - 4\pi = 12 \pi$

Circle Area

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Circle Area

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