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Let radius = 10 cm
=> Area of circle = $$\pi (10)^2 = 100 \pi$$ sq. cm
If radius is increased by 17%, => New radius = 11.7 cm
New area = $$\pi (11.7)^2 = 136.89 \pi$$ sq. cm
=> % increase in area = $$\frac{136.89 - 100}{100} \times 100$$
= 36.89 %
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