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Posted by **missy** on Monday, February 6, 2012 at 7:48pm.

A sector has area of 15 in^2 and central angle of 0.2 radians. Find the radius of the circle and arc length of the sector

- TRIG HELP ASAP -
**Reiny**, Monday, February 6, 2012 at 9:28pmarea of whole circle /15 = 2π/.2

area of whole circle = 30π/.2 = 150π

then πr^2 = 150π

r^2 = 150

r = √150 = 5√6

arclength = rØ = 5√6(.2) = √6

or if you don't know that formula .....

arc /(2π(5√6) = .2/(2π)

arc = 2π(5√6)(.2)/(2π) = √6

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