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What is the approximate area of the shaded sector in the circle shown below?

What is the approximate area of the shaded sector in the circle shown below?-example-1

2 Answers

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Answer: a. 37.7

Step-by-step explanation: a p e x

User Ntohl
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7.6k points
4 votes

Alright, so first we find the area of the whole circle using pi r squared

12^2 pi = 144 pi

Now we use the proportions of the sector and the whole circle:

30:360 (degrees; we will be using the same for the other ratio)

= x:144pi

1:12 = x:144

This basically equals

12x = 144

x = 12, and now we multiply pi, so 12 x 3.14 = 37.7 cm^2.


The first option is correct.


User Pablo Insua
by
7.8k points

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