Question

Find the length of an arc of a circle whose central angle is 3 radians and its radius is 8cm

Answer 1

The length of an arc is defined as the product between the radius and the angle in radians. We already have the angle in radians (3 rad) and the radius which is 8cm. Then, to find the length of the arc (L):

`L\questeq r\cdot\theta`
`\text{Where L is the length of arc, r the radius and }\theta\text{ the angle in radians}`

Then:

The length of an arc whose central angle is 3 radians, and the radius is 8cm is 24 cm.