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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

 Apr 19, 2014

Best Answer 

 #1
avatar+6250 
+5

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

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

 Apr 19, 2014

1+0 Answers

 #1
avatar+6250 
+5
Best Answer

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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