Question

A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle.

Which equation gives the measure of the central angle, q?
9
75
O
O e-7+5
O9-7-5

Answer 1

`x=(7)/(5)`

Explanation:

Using degrees, the formula for arc length is
`s= r\theta`, where s is the arc length, r is the radius, and θ is the central angle of the arc in radians.

As we have the length of the arc and we are looking for the central angle, we make θ the unknown and solve for it:

`7=5x`

We simply divide 5 into both sides to conclude that,

`x=(7)/(5)`