an arc of length 12 meters is formed by a central angle A on a circle of r=9
the measure of A in degrees(2 decimal places() is

a. 42.97
b. 8.38
c. 76.39
d. 1.30

Question

an arc of length 12 meters is formed by a central angle A on a circle of r=9
the measure of A in degrees(2 decimal places() is

a. 42.97
b. 8.38
c. 76.39
d. 1.30

anonymous · Answer

b maybe?

anonymous · Answer

$$s = r \theta$$
Solve for theta.
$$\theta = s/r$$

$$\theta = 1.3333$$
So your answer is D

anonymous · Answer

it was c

anonymous · Answer

First, find the circumference of the circle. Then, find the ratio of arc to circumference. Then, use this ratio against 360 degrees to find the angle A.

anonymous · Answer

circumference of circle = 2*p1*9 = 18 pi
required angle =  12* 360
                            -------
                             18 pi
 =   240 / pi = 76.39 degrees