kimtaehyungg kimtaehyungg

20-02-2017
Mathematics

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the length of an arc of a circle is 12cm. the corresponding sector area is 108 cm^2 find the radius of the circle ...Someone, please help

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reinkyl000 reinkyl000

20-02-2017

s = (angle/360)*2*pi*r
s = (t/360)*2*pi*r
s = (2t/360)*pi*r
s = (t/180)*pi*r
now plug in s = 12 to get
12 = (t/180)*pi*r
now solve for the angle t to get
t = 180*12/(pi*r)
t = 2160/(pi*r)

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