Question

What is the area of the sector bound by the center of the circle and arc CD in the circle below? Circle A is shown with a radius labeled 15 feet and a central angle marked 45 degrees. 9.42 ft2 19.54 ft2 34.89 ft2 88.31 ft2

Answer 1

Area = 45/360 (pi)(15)^2
88.31

Answer 2

D.Area of sector=88.31 square feet.

Explanation:

We are given that a circle A and its radius is 15 feet.

The central angle is equal to 45 degrees.

Radius of circlle=15 feet

Angle at center=
`\theta=45^(\circ)`

We know that the area of sector

Area of sector=
`(\theta)/(360)* \pi r^2`.

We take value of
`\pi=3.14`

Substituting all given values in the given formula

Area of sector=
`(45)/(360)* 3.14* 15* 15`

Area of sector=
`(31792.5)/(360)`

Area of sector= 88.3125 square feet

Hence, area of sector=88.31 square feet.Therefore, option D is correct answer.