Question

The radius of a circle is 14cm. Find the radius of a whose area is double the area of this circle.
Please explain step by
step.
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Answer 1

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.

Answer 2

Answer:

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