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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?

Respuesta :

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

[tex]s=r\theta\\\\\theta=\frac{s}{r}\\\\\theta=\frac{0.762}{14.097}\\\\\theta=0.05408[/tex]

Converting θ to radians

[tex]\theta=0.05408\frac{\pi}{180}\\\\\theta=0.0003\pi[/tex]

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