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

Answer:

The radius of the circle is 40.44 cm

Step-by-step 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)

$arc=R\,\theta\\12\,cm= R\,\theta\\12\,cm=R\,(0.2967)\\R=\frac{12}{0.2967} \,cm\\R=40.44\,cm$