SOLUTION: A sector has an area of 50cm^2 and an arc length of 4 cm. Find its radius and central angle in radians.

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Question 482513: A sector has an area of 50cm^2 and an arc length of 4 cm. Find its radius and central angle in radians.
Answer by lwsshak3(11628) About Me  (Show Source):
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A sector has an area of 50cm^2 and an arc length of 4 cm. Find its radius and central angle in radians.
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x=central angle
Arc length,s=rx=4
x=4/r
Area=1/2r^2*x=50
r^2*x=100
r^2*4/r=100
4r=100
r=25cm
x=4/r=4/25 radians