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Question

A sector of 56, cut out from a circle, contains 17.6 cm2. Find the radius of the circle.

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Solution

a s space w e space k n o wa r e a space o f space s e c t o r space equals �r squared straight theta over 360
given area of sector =17.6

equating both
�r squared 56 over 360 equals 17.622 over 7 straight r squared 56 over 360 equals 17.6straight r squared equals 0.8 cross times 360 cross times 7 cross times 1 over 56straight r squared equals 36 cross times 7straight r equals 6 square root of 7


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