Question

What is the diameter of a circle whose area is equal to the sum of the areas of the two
circles of radii 24 cm and 7 cm?
a. 31 cm b. 25 cmc. 62 cmd . 50 cm​

Answer 1

Answer:

Step-by-step explanation:

Ans. D. 50cm

According to given condition

Area of main circle = sum of areas of two circles of radii 24 and 7

∴πr²=π24²+π7²

r²=24²+7²

=576+49

= 625

∴r=25

∴d= 2r

=2×25

=50

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Answer 2

Step-by-step explanation:

Let radius of bigger circle=R cm

Diameter=2R

Let radius of two circles be r1 =27cmand r2=7cm

Therefore,Area of bigger circle=sum of area of two circles

πR^2=πr1^2+πr2^2

πR^2=π(r1^2+r2^2)

R^2=(27)^2+(7)^2

R^2=625

R=25

Diameter=2×25=50cm