Question

find the radius of the circle whose area is twice the area of cricle
of radius 14cm

Answer 1

the radius of the circle whose area is twice the area of cricle  

of radius 14cm

r=radius=14cm

 2nd circle radius is 2R

According to the question,

2nd circle area equals to  double the area of the first circle

                       pi*R^2 = 2 ×pi*r^2

==>  R^2 = (2 × pi*r^2 )/ pi

-->      R^2 = 2 × r^2

-->   R = root(2) ×r

 R = root(2) × 14

R = 14√2 cm

R=9.899cm