Circular 82418

A circular segment has an area of 6.04 cm², the central omega angle is 15 degrees, what is the radius?

Correct answer:

r =  63.6649 cm

Step-by-step explanation:

S=6.04 cm2 ω=15° rad=15° 180π =15° 1803.1415926 =0.2618=π/12  0 < ω < π S = 2r2(ωsin ω)  r=ωsinω2 S=0.2618sin0.26182 6.0463.6649 cm   Verifying Solution:  S2=2r2 (ωsin(ω))=263.66492 (0.2618sin(0.2618))=25151=6.04 cm2



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