Question

Find the radius of a circle whose area is twice the area of a circle of radius 14 cm.​

Answer 1

Step-by-step explanation:

Given:

Area of circle(A1) = Area of circle of radius 14 cm(A2)

A1=π(14)²

A1=22/7*14*14

A1=22*28

A1=616 cm²

π(r1)²=616 cm²

22/7(r1)²=616 cm²

(r1)²=616*7/22

(r1)²=28*7

r1=√4*7*7

r1=2*7

r1=14 cm

Answer 2

Step-by-step explanation:

we get,

Area of 1st circle = 2(Area of 2nd circle)

πr^2 = 2 x πr^2

r^2 = 2 x r^2 ( π will be cut)

r^2 = 2 x 14 x 14

r^2 = 392

r = √392

r = 19.7989 cm

:- Hence, the radius of a circle is 19.7989 cm.

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