Question

A circle has a radius of 555 inches (\text{in})(in)(, start text, i, n, end text, )and a central angle that intercepts an arc with a length of 30\text{ in}30 in30, start text, space, i, n, end text. What is the measure, in radians, of this central angle?

Answer 1

datnis nod the roight acojfnflnnjnfrn Explanation:

Answer 2

Central angle = 0.0003π

Explanation:

Radius of circle = r = 555 in = 14.097 m

Arc length = s = 30 in = 0.762 m

Using formula

`s=r\theta\\\\\theta=(s)/(r)\\\\\theta=(0.762)/(14.097)\\\\\theta=0.05408`

Converting θ to radians

`\theta=0.05408(\pi)/(180)\\\\\theta=0.0003\pi`