Question

Mark the statements that are true. A. An angle that measures π/4 radians also measures 45°. B. An angle that measures 180° also measures π radians. C. An angle that measures 60° also measures π/3 radians. D. An angle that measures π/3 radians also measures 30°.​

Answer 1

TRUE: A, B, C

False: D

Explanation:

A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.

__

A. An angle that measures π/4 radians also measures 45°. TRUE

45° × π/180° radians = π/4 radians

B. An angle that measures 180° also measures π radians. TRUE

180° × π/180° radians = π radians

C. An angle that measures 60° also measures π/3 radians. TRUE

60° × π/180° radians = π/3 radians

D. An angle that measures π/3 radians also measures 30°.​ FALSE

30° × π/180° radians = π/6 radians