# How large is the central angle on a circle with a radius of 4ft if the defined arc is 10ft?

**Solution:**

Given that:

The Radius of the circle = 4 ft

Length of the arc = 10 ft

The central angle can be found by dividing the length of the arc by the radius of the circle.

Central angle = Length of the arc/Radius of the circle

= 10/4

= 2.5 radians

As the radians are fractions of π

Central angle = 2.5 π radians

Therefore,

the central angle is 2.5 π radians.

## How large is the central angle on a circle with a radius of 4ft if the defined arc is 10ft?

**Summary:**

The central angle on a circle with a radius of 4ft if the defined arc is 10ft is 2.5π radians.