Question

Find the radius of a circle that has an arc whose central angle measures 17 degrees and has a length of 12 degrees.

Answer 1

The radius of the circle is 40.44 cm

Explanation:

We can use the formula for the arc of a circle of radius R and central angle
`\theta`, where
`\theta` is given in radians (we therefore convert
`17^o` into radians with
`17^o\,\pi/180^o=0.2967` radians)

`arc=R\,\theta\\12\,cm= R\,\theta\\12\,cm=R\,(0.2967)\\R=(12)/(0.2967) \,cm\\R=40.44\,cm`