Question

Mark the statements that are true.. . A.An angle that measures 30° also measures π/3 radians.. . B.An angle that measures π/6 radians also measures 30°.. . C.An angle that measures π/3 radians also measures 60°.. . D.An angle that measures 180° also measures π/2 radians.

Answer 1

B and C are true. Hope this helps! :)

Explanation:

Answer 2

To convert radians to degrees, multiply by 180/p, like this:
degrees = radians x (180 / π )

To convert degrees to radians, multiply by p/180, like this :
radians = degrees x ( π/180)

(A) This will use the formula for radians to degrees.
π/3 x (180/π)
The pi's cancel, leaving you with: 180/3 = 60 degrees
False

(B) An angle that measures π/6 radians also measures 30°
π/6 x (180/π) = 30 degrees.
True

(C) An angle that measures π/3 radians also measures 60°
π/3 x (180/π) = 60 degrees.
True

(D) An angle that measures 180 degrees also measures π/2
π/2 x (180/π) = 90 degrees.
False