Question

If the arc on a particular circle has a length of 12 units, and the circumference of the circle is 36, what is the degree measure of the arc?

Answer 1

`120^circ`

Explanation:

Remember that the circumference of a circle is one of the arc's of a circle with measure of `360^circ`

Assume the angle subtended by the arc is `x^circ`

We can say that `x^circ=x/360`

`:.` Write the equation as

`rarr36(x/360)=12`

`rarrcancel36(x/cancel360)=12`

`rarrx/10=12`

`rArrcolor(green)(x=10*12=120^circ`