Q:

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

Accepted Solution

A:
This question is not complete.Complete QuestionMajor 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 radiansAnswer:c) 5pi/3 radians = 5π/3 radiansStep-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 as360° = 2πrThe major arc CBD is 300° Therefore, 360° = 2πr , radius is not given hence , 360° = 2π300° = Y (Unknown)Cross multiply360Y= (300× 2π) Y = 600π ÷ 360Y = (5π÷ 3) radiansY = 5π/3 radiansHence the radian measure for the corresponding angle is = 5π/3 radians