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find the radius of this sector?

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The sector length is 15cm and the angle is 27degrees, what is the radius?

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radius-of-a-sector

asked Mar 4, 2014 in ALGEBRA 2 by payton Apprentice

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1 Answer

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Formula for arc length = (Ѳ/180)2∏r

Ѳ = 27degrees, l = 15cm

15 = (27/360)2*3.14*r

15 = (0.075)6.28r

15 = 0.471r

Divide to each side by 0.47.

r = 15/0.471

r = 31.84

Radius of the sector = 31.84cm.

answered Mar 4, 2014 by ashokavf Scholar

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