# The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm is

Given: d1 = 36 cm

d2 = 20 cm

To find: Radius of the circle.

Explanation:

Diameter of first circle = d1 = 36 cm

Diameter of second circle = d2 = 20 cm

Circumference of first circle = πd1 = 36π cm

Circumference of second circle = πd2 = 20π cm

Now, we are given that,

Circumference of circle = Circumference of first circle + Circumference of second circle

πD = πd1 + πd2

πD = 36π + 20π

πD = 56π

D = 56

Radius = 56/2 = 28 cm

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