Question

the radius of the circle whose area is equal to the sum of the area of the two circles of radii 24cm and 7cm is

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Answer 1

Answer:

Radius of two circles are 24 cm and 7 cm. Now, pi(625 is the area of circle that is equal to the sum of the area of two circles.

Answer 2

Answer:

Step-by-step explanation:

Radius of two circles are 24 cm and 7 cm.

Thus, area of two circles

= pi x (24)2 + pi (7)2

= pi x (576 + 49)

=pi x (625)

Now, pi(625 is the area of circle that is equal to the sum of the area of two circles.

Thus, we have

pi x (625) = pi (r2)

i.e. r2 = 625

i.e. r = 25

Hence, diameter = 2r = 2 x 25 = 50 cm