Question

A circle with a circumference of 468 cm is centered at the vertex of an angle, and the angle's rays subtend an arc that is 332.8 cm long. What is the measure of this angle in degrees? degrees

Answer 1

circumference = 468 cm

Let us use a diagram to illustrate the question

The angle can be found below

`\begin{gathered} \text{length of arc=}(x)/(360)*2\pi r \\ \text{circumference}=2\pi r \\ 2\pi r=468 \\ \text{Therefore,} \\ 332.8=(468x)/(360) \\ 468x=119808 \\ x=(119808)/(468) \\ x=256^(\circ) \end{gathered}`

Angle = 256 degree's