Question

find the radian measure of an of 80 degrees. explain your work.

A)4 pi/ 9
B)2 pi/9
C)80 pi
D)8 pi/9

Answer 1

80 * (pi/180) = 8pi/18 = 4pi/9

Answer 2

To find the radian measure of an angle in degrees, you can use the formula:

radian measure = degrees * (pi/180)

So, for an angle of 80 degrees:

radian measure = 80 * (pi/180)
radian measure = 8pi/9

Therefore, the radian measure of an angle of 80 degrees is 8 pi/9, which corresponds to option D.

Answer 3

Apologies for the mistake in the initial calculation. You are correct.

When calculating the radian measure of an angle of 80 degrees, the correct calculation is:

radian measure = 80 * (pi/180)
radian measure = 8pi/18
radian measure = 4pi/9

Therefore, the radian measure of an angle of 80 degrees is 4pi/9, which corresponds to option A. Thank you for pointing out the error.