Major arc CBD measures 300°Which is the radian measure of its corresponding central angle?

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Complete Question

Major arc CBD measures 300°. Which is the radian measure of its corresponding central angle?

a)4pi/3 radians

b) 5pi/6 radians

c) 5pi/3 radians

d) 11pi/6 radians

c) 5pi/3 radians = 5π/3 radians

Step-by-step explanation:

The corresponding central angle can be defined as the angle that is formed when there is a joining together of two radii at the center of the circle.

The circumference of a circle is given as

360° = 2πr

The major arc CBD is 300°

Therefore,

360° = 2πr , radius is not given hence , 360° = 2π

300° = Y (Unknown)

Cross multiply

360Y= (300× 2π)

Y = 600π ÷ 360

Y = (5π÷ 3) radians

Y = 5π/3 radians

Hence the radian measure for the corresponding angle is = 5π/3 radians

step-by-step explanation:

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