Question

3 po Q7. Find the length of an arc of a circle with a radius of 10cm if the arc subtends a central angle of 0.25 radians?​

Answer 1

15cm

Explanation:

Arc length is given by:

A=rθ

Where A is arc length.

∴

A=(10)(1.5)=15cm

This makes sense, if you consider how we define a radian measurement.

If the radius of a unit circle (radius 1) describes an arc on the circumference equal to its length, then the angle subtended by this arc is defined as 1 radian.

So, if we have a radius of 10cm, and it describes an arc 1.5 times its length, then the length of the arc is 15cm.