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On increasing the diameter of circle by 40%, its area will be increased by |
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Answer» -step EXPLANATION:Let the radius be r CM∴area=πr 2 cm 2 New radius Newradius=r+40%orr=r+ 10040 r=r+ 52 r= 57 rNew area Newarea=π( 57 r) 2 =π 2549 r 2 ∴ Increase in area = 2549 πr 2 −πr 2 =( 2549−25 )πr 2 2524 πr 2 ∴ Percentage of increase in area= πr 2 2524 πr 2 ×100= 2524 ×100=96% |
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