Question

Change 1.92 radians to degree measure. Round to the nearest tenth. Question 12 options:

A.) 290°
B.) 200°
C.) 110°
D.) 470°

Answer 1

110.0 degrees to nearest tenth.

Explanation:

Degrees = radians * 180 / π

= 1.92 * 57.2958

= 110. 0 degrees.

Answer 2

C.) 110°

Explanation:

by definition, 180 degrees = π radians

also π = 3.1416

so 180 degrees = 3.1416 radians

3.1416 radians = 180 degrees

1 radian = 180 / 3.1416 degrees

1.92 radians = (180 / 3.1416) x 1.92 degrees = 110.008 degrees

rounding to nearest ten degrees we get 110 degrees