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

Answer:

$\frac{q}{360}$ × π10 = 7

Explanation:

The formula to find arc length is $\frac{x}{360}$ × $\pi r^{2}$

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

Answer 2

Answer:

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

             $\theta =1.4\times \frac{180}{\pi }=80.21^0$

Central angle = 80.21°