# If the area of a

Suppose that C is the largest circle, C1 is the circle with diameter 10 cm and C2 is the circle with diameter 24 cm aNd R, R1 and R2 are the radius of these circles respectively.

The diagram is given below:

Given: R1 = 5 cm [, Diameter = 10 cm]

R2 = 12 cm [, Diameter = 24 cm]

Area of circle C = Area of circle C1 + Area of circle C2

πR2 = πR12 + πR22

πR2 = π (R12 + R22)

R2 = (5)2 + (12)2

R2 = 25 + 144 = 169

R = √169 = 13

If the radius of the largest circle is 13, then diameter is 2R.

Diameter = 2R

Diameter = 2(13) = 26

Hence, diameter of the largest circle is 26 cm.

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