Question

A circle of radius of 4 inches has an arc length of 5.8 inches. Find the measure of the central angle.

Answer 1

The radius of the circle is 4 inch and has an arc length of 5.8 inches . We know that if the central angle is 360° then the arc length is
`2\pi r` . Similarly when angle is theta ,

`\implies Arc = radius * \theta`

Now substitute respective values , from the given data ,

`\implies 5.8 inch = 4inch * \theta \\\\\implies 0.14 m = 0.1 * \theta \\\\\implies \boxed{\red{\theta \approx 1.4 \ rad }}`

This is our required answer!