Question

In a circle with a radius of 5cm and is centered at point O, angle AOB intercepts arc AB. Arc AB has a length of 10cm. What is the degree measure of angle AOB? Round to the nearest hundredth. (Use 3.14 for pi.)

A.) 2
B.) .035
C.) 114.65
D.) 28.66

Only answer if you're smart, the question is worth 10 points

Answer 1

circumference of circle = 2*pi*r given r = 5 so circumference = 31.42 now we know 360 degree is uniformly distributed on this circumference so x/360=10/31.42 so x= 114.65 so option C.) 114.65 is the answer