Question

Find the area of the figure to the nearest tenth

Answer 1

A

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 =
`(\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=(\theta)/(360)*\pi r^2\\=(140)/(360)*\pi (9)^2\\=(7)/(18)*81\pi\\=98.96`

rounding to nearest tenth, it is 99.0 inches squared.

Option A is right.