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InterviewSolution
| 1. |
The circumference of circle increased by 50percent find percentage increase in area |
| Answer» Circumference = 2 πr where r is radius of circleso area of circle = πr2Circumference is proportional to radius.When circumference is increased by 50% the radius will also increased by 50%.So new radius = 150 r /100 = 1.5 rSo new area = (1.5 r)2\xa0× πso increased in area = (1.5 r)2\xa0× π – πr2= π (2.25 r2\xa0– r2)= 1.25 πr2% increase in area = increase in area\xa0× 100\xa0original area = 1.25 πr2 × 100= 125 % | |