Question

Find the radius of new circles whosw area is equal to sum of area of two circle having 3cmsquare and 4cm square

Answer 1

Answer:

The radius of a circle whose area is equal to the sum of the ares of two circles of radii 3 cm and 4 cm is

Answer Given radius of two circles are 3 cm and 4 cm

Then area of circle whose radius is 4 cm =πr

2

=π(4)

2

=16π sq cm

And Then area of circle whose radius is 3 cm =πr

2

=π(3)

2

=9πsq cm

Then area of circle whose area is equal to sum of both circles=16π+9π=25π sq cm

let the radius of new circle is R cm

∴πR

2

=25π

⇒R

2

=25

⇒R=5 cm

So the radius of new circle =5 cm