Suppose that circles R and S have a central angle measuring 60°. Additionally, the length of the intercepted arc for circle R is 103π meters and for circle S is 163π meters.

If the radius of circle R is 10 meters, what is the radius of circle S? A) 9 meters B) 12 meters C) 14 meters D) 16 meters

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Rayoxp16 Rayoxp16 · Answer 1 · 2018-04-16T04:42:20+02:00

cianna Ithink its 14 meters

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lisboa lisboa · Answer 2 · 2018-08-26T16:08:32+02:00

The length of the intercepted arc for circle R = 103π meters

The length of the arc of circle S = 163π meters.

the radius of circle R = 10 meters

the radius of circle S = x

Given : circles R and S have a central angle measuring 60°

So the radius of circle S to the radius of circle R is equal to the length of intercepted arc S to the length of the arc R

[tex] \frac{Radius S}{Radius R} = \frac{Length S}{Length R} [/tex]

[tex] \frac{Radius S}{10} = \frac{163\pi }{103\pi } [/tex]

[tex] Radius S = \frac{163\pi }{103\pi } * 10 [/tex]

S= 15.825 meters

So the radius of the circle S = 16 meters