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Q.

What is the diameter of a circle whose area is equal to the sum of the area of the two circles of radii 24cm and 7cm ?

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a

50 cm

b

51 cm

c

52 cm

d

53 cm

answer is A.

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Detailed Solution

Concept- π(Pie) times the square of the radius is the formula for the circle's surface area. Use this to calculate the combined area of the 24 cm and 7 cm radii circles. Find the radius of the necessary circle by replacing the area in the formula. The diameter is thus equal to double the radius.
Formulae for calculating area of circle is

where r is the circle's radius.
Let

be the area of the circle with radius

and

that is equal to the sum of the areas of the two circles with radii of 24 cm and 7 cm.
Question Image

Question Image

Hence, the correct answer is option 1.

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