Question

In a circle, an angle measuring 3 radians intercepts an arc of length 13. Find theradius of the circle to the nearest 10th.

Answer 1

Normally, when we want to find the arc of length given a radius and an angle we use the next equation:

`S=rθ`

where:

s represents the arc of length

r represents the radius

θ represents the angle

We need to find the radius, so we need to solve for r:

`r=(s)/(θ)`

Replace using θ=13 rad and s=13

Then: