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

Answer:

D.Area of sector=88.31 square feet.

Step-by-step 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=$\frac{\theta}{360}\times \pi r^2$.

We take value of $\pi=3.14$

Substituting all given values in the given formula

Area of sector=$\frac{45}{360}\times 3.14\times 15\times 15$

Area of sector=$\frac{31792.5}{360}$

Area of sector= 88.3125 square feet

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

Answer 2

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