Question

The radian measure corresponding to 580° is​

Answer 1

580° = 29π/9 radians

Step-by-Step Solution

Given that 180° is equal to pi, we can write the following degrees to radians conversion formula:

α in π radians = α in degrees × π/180, OR

α rad = α° × π/180

Plugging the angle value, in degrees, in the previous formula, we get:

α rad = π × 580/180 =

π × 580÷20/180÷20 =

29π/9 radians, when reduced to lowest fraction in terms of π.

Note: 29π/9 rad can be expressed as real number or as a decimal as 3.2222222222222π rad = 10.122909661567 radians.