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
[tex]\theta = ?[/tex]
The radian measure of a central angle θ of a circle is given as:
[tex]s = r \times \theta\\\\\theta = \frac{s}{r}[/tex]
Where,
"r" is the radius of circle
"s" is the length of arc
[tex]\theta[/tex] = central angle in radians
Substituting the known values,
[tex]\theta = \frac{60}{75} = 0.8[/tex]
Thus radian measure of central angle is 0.8 radians
