Mathematics: Find the area of the figure to the nearest tenth

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Find the area of the figure to the nearest tenth

ksoodagoat

04.01.2022

Step-by-step explanation:

This is a sector of a circle measuring 140° and the circle has radius 9 inches.

We can use the formula for the area sector of a circle to figure this out.

Area of a Sector of a Circle = $\frac{\theta}{360}*\pi r^2$

Where

$\theta$ is the intercepted angle (here it is 140), and

r is the radius (here it is 9)

plugging into the formula, we get:

$A=\frac{\theta}{360}*\pi r^2\\=\frac{140}{360}*\pi (9)^2\\=\frac{7}{18}*81\pi\\=98.96$

rounding to nearest tenth, it is 99.0 inches squared.

Option A is right.

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