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Mathematics

Grade9

Easy

Question

Find the radius of the circle below where the area of the blue sector is given.

6 m
5 m
9 m
4 m

The correct answer is: 4 m

so option 4 is the correct answer
$w e space h a v e space t o space f i n d space r a d i u s space a r a e space o f space b l u e space s e c t o r space i s space g i v e n space equals space 12.36 space c m squared space space space 89 to the power of o over 360 to the power of o space cross times straight pi space cross times space straight r squared space equals space 12.36 space space 0.25 space cross times straight pi space cross times space straight r to the power of 2 space end exponent equals space 12.36 straight r to the power of 2 space end exponent space equals space fraction numerator 12.36 over denominator 0.25 space cross times 3.14 end fraction r squared space equals space fraction numerator 12.36 over denominator 0.785 end fraction r squared space equals space 16 space left parenthesis space a t space m o s t space right parenthesis s o space r space equals space 4 m space a n s w e r$

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