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The radius of a circle is 14 cm. Find the radius of the circle whose area is double of the area of the circle. |
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Answer» Let the area of the circle whose radius is 14 cm be A1. We know that area of the circle = πr2 Therefore, A1 = π (14)2 Let A2 and r2 be the area and radius of the second circle respectively whose area is double the area of circle A1. A2 = 2 A1 ⇒ π (r2)2 = 2 × π (14)2 ⇒ (r2)2 = 2 × (14)2 ⇒ r2 = 14√2 cm Hence the radius of the circle A2 is 14√2 cm. |
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