Question

This partial circle has a radius of 11 inches.

What is the area of this figure?

Use 3.14 pi.

Enter your answer as a decimal in the box. Round your answer to the nearest hundredth.

____in.²

Answer 1

First, find the area of the circle
 pie*radius to the power of 2(radius*raduis)
(11*11=121) 121*3.14=379.94
take your answer and divide it by 4 we would divide it by 2 if we had a semicircle but since we have a 3/4 circle we divide by 4 and then times the Quotient by 3
379.94/4=94.985
94.985*3=284.955
Round ur answer to the nearest tenth so it equals 284.96

Answer 2

The area of the circle is the area that is occupied by a circle. The area of the partial circle is 285.099 in².

What is the area of the circle?

The area of the circle is the area that is occupied by a circle. It is given by the formula,

$\text{Area of the circle}=\pi r^2$

As we can see that the angle of the circle that is not present is 90, therefore, the angle of the circle that is present is 270°(360°-90°). Also, it is given that the radius of the circle is 11 inches. Therefore, the area of a segment of the circle is,

$\text{Area fo the circle}= \pi r^2 \times \dfrac{\theta}{360^o}$

                           $=\pi r^2 \times \dfrac{270^o}{360^o}\\\\\\=285.099\rm\ in^2$

Hence, the area of the partial circle is 285.099 in².

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