SOLUTION: Find the radian measure of the central angle of radius 7 centimeters that intercepts an arc of length 15 centimeters. Round to three decimals. A) .554 B)2.143 C)30.401 D)4.421

Algebra ->  Trigonometry-basics -> SOLUTION: Find the radian measure of the central angle of radius 7 centimeters that intercepts an arc of length 15 centimeters. Round to three decimals. A) .554 B)2.143 C)30.401 D)4.421      Log On


   

Question 914123: Find the radian measure of the central angle of radius 7 centimeters that intercepts an arc of length 15 centimeters. Round to three decimals.
A) .554
B)2.143
C)30.401
D)4.421
E)3.901
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
The radian measure of a central angle of a circle is defined as the ratio of the length of the arc the angle subtends, s, divided by the radius of the circle, r
theta=s%2Fr
given:
s=15cm, r=7cm
theta=15cm%2F7cm
theta=2.142857142857143 round to three decimals
theta=2.143
so, answer is B)2.143