If the radius of a circle is increased by 50%, then the area of the circle is increased by

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RRB ASSISTANT LOCO PILOT (Allahabad) 2010 click here to view all questions

If the radius of a circle is increased by 50%, then the area of the circle is increased by

A1.25

B1

C0.75

D0.5

rajesh ? Dec 22 '2019 at 21:34

Correct answer is: 1.25

Explanation:

\(\Large \left[ \frac{ \pi r^{2} \left(2.25-1\right) }{ \pi r^{2}} \right] = 1.25\)

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Correct answer is: 1.25 Explanation: \(\Large \left[ \frac{ \pi r^{2} \left(2.25-1\right) }{ \pi r^{2}} \right] = 1.25\) rajesh ? answered Dec 22 '2019 at 21:34 All Comments

Let initial radius was 100. Area = pi * R *R = 3.14 * 100 *100 = 31,400 sq. unit. Ne radius = 100 + 50% of 100 = 150 New Area = pi * R *R = 3.14 * 150 *150 = 70650 Increased Area = 70650 - 31400 = 39,250 % Increased Area = (39250 *100)/31400 = 125%. rajendra ? answered Dec 22 '2019 at 21:37 All Comments

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