Question

What is the area of the sector bound by the center of the circle and in the circle below? (1 point). . . Select one:. a. 9.42 ft2 . b. 19.54 ft2 . c. 34.89 ft2 . d. 88.31 ft2 .

Answer 1

We have to calculate the area of the sector. From the picture we can see that the radius of the circle is: r = 10 ft. The area of the circle is: A = r^ 2 Pi = 10^2 * 3.14 = 100 * 3.14 = 314 ft^2. We have to find which part of the circle is the sector. 360 deg : 40 deg = 9. Then we will divide the area by 9. 314 : 9 = 34.89 ft^2. Answer: C ) 34.89 ft^2