Question

Please Help me

In a circle with a radius of 7 feet, the radian measure of the central angle subtended by an arc with a length of 4 feet is ( A. 28 B. 1.75 C. 0.57). The area of the sector formed by the arc is (A. 42.9 B. 13.97 C. 4.56) square feet.


Assume π = 3.14, and round your answers to the nearest hundredth.

Answer 1

C. 0.57 radians.

B. 13.97 ft^2.

Explanation:

Length of the arc = radius * c where c = angle in radians.

4 = 7 * c

c = 4/7 = 0.57 radians

Area of the sector = 1/2 * c * r^2 where r = radius.

= 1/2 * 0.57 * 7^2

= 13.97 ft^2.