Question

Find the radian measure of the central angle

Answer 1

The radian measure of central angle is 0.8 radians

Solution:

Given that we have to find the radian measure of central angle

From given figure in question,

Arc length = 60 units

Radius = 75 units

`\theta = ?`

The radian measure of a central angle θ of a circle is given as:

`s = r * \theta\\\\\theta = (s)/(r)`

Where,

"r" is the radius of circle

"s" is the length of arc

`\theta` = central angle in radians

Substituting the known values,

`\theta = (60)/(75) = 0.8`

Thus radian measure of central angle is 0.8 radians