Question

Q. The radii of two circles are 5cm and 12 cm. Then the radius of the circle having area equal to the

sum of the areas of the two circles is

(a) 17 cm (b) 13 cm (c) 34 cm (d) 26 cm​

Answer 1

Answer:

Given two circle radii are 5 cm and 12 cm

Then area of circle 5 cm =πr

2

=π(5)

2

=25π sq cm

And area of circle radius 12 cm =πr

2

=π(12)

2

=144πsq cm

So area of circle whose area equal to sum of rheas two circle=25π+144π=169π sq cm

Let the radius of sum circle =R cm

∴πR

2

=169π⇒R

2

=169⇒R=13 cm