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:

$s = r \times \theta\\\\\theta = \frac{s}{r}$

Where,

"r" is the radius of circle

"s" is the length of arc

$\theta$ = central angle in radians

Substituting the known values,

$\theta = \frac{60}{75} = 0.8$

Thus radian measure of central angle is 0.8 radians