SOLUTION: A circle with a radius of 3.8 cm is centered at the vertex of an angle. Suppose the angle has a measure of 160 degrees. a. What is the radian measure of this angle? b. What i

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Question 1127809: A circle with a radius of 3.8 cm is centered at the vertex of an angle. Suppose the angle has a measure of 160 degrees.
a. What is the radian measure of this angle?
b. What is the length (in cm) of the arc subtended by the angle's rays along the circle?
c. Suppose θ represents the varying degree measure of the angle. Write an expression that represents the length (in cm) of the arc subtended by the angle's rays along the circle. (Enter "theta" for θ.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A circle with a radius of 3.8 cm is centered at the vertex of an angle. Suppose the angle has a measure of 160 degrees.
a. What is the radian measure of this angle?
160 = 160*pi/180 = 8pi/9 radians.
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b. What is the length (in cm) of the arc subtended by the angle's rays along the circle?
L = r*T (T in radians)
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c. Suppose T represents the varying degree measure of the angle. Write an expression that represents the length (in cm) of the arc subtended by the angle's rays along the circle.
L = T*r*pi/180 --- T in degrees

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