Question

A circle has a radius of 5ft and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which equation gives the measures of the central angle q?

Answer 1

`(q)/(360)` × π10 = 7

Step-by-step explanation:

The formula to find arc length is
`(x)/(360)` ×
`\pi r^(2)`

Simply plug in radius and arc length to get your equation.

Answer 2

Central angle = 80.21°

Step-by-step explanation:

The arc length in circle is the product of radius and central angle made by the arc in radians.

That is

l = rθ

Here given the values r = 5 ft and l = 7 ft

Substituting

7 = 5 x θ

θ = 1.4 radians

`\theta =1.4* (180)/(\pi )=80.21^0`

Central angle = 80.21°