Question

What is the area of the sector bound by the center of the circle and arc CD in the circle below? (1 point) Circle A is shown with a radius labeled 8 feet and a central angle marked 35 degrees. 9.42 ft2 19.54 ft2 34.89 ft2 88.31 ft2

Answer 1

19.54

Explanation:

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Answer 2

19.54 square feet.

Explanation:

The Area of sector of any circle can be calculated by the formula :

Area=
`\frac{pir^2.\alpha }`÷360

Where alpha is the angle made at center of the circle.

In the given question r=8 ft and angle made at center alpha = 35 degrees.

Substituting these values in the formula Area=
`(\pi(8)^2(35) )/(360) =19.54ft^(2)`

(Substituting π=3.14)

Answer:19.54 square feet.