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 wi

Question

4 years ago

6

th 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?

2 answers:

lukranit [14] · Answer 1 · 2022-01-25T00:34:11+03:00

4 0

datnis nod the roight acojfnflnnjnfrn Step-by-step explanation:

leva [86] · Answer 2 · 2022-01-24T22:14:35+03:00

leva [86]4 years ago

3 0

Answer:

Central angle = 0.0003π

Step-by-step explanation:

Radius of circle = r = 555 in = 14.097 m

Arc length = s = 30 in = 0.762 m

Using formula

$s=r\theta\\\\\theta=\frac{s}{r}\\\\\theta=\frac{0.762}{14.097}\\\\\theta=0.05408$

Converting θ to radians

$\theta=0.05408\frac{\pi}{180}\\\\\theta=0.0003\pi$