Q. 95.0( 2 Votes )

# 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

Answer :

**Given:** d_{1} = 36 cm

d_{2} = 20 cm

**To find:** Radius of the circle.

**Explanation:**

Diameter of first circle = d_{1} = 36 cm

Diameter of second circle = d_{2} = 20 cm

∴ Circumference of first circle = πd_{1} = 36π cm

Circumference of second circle = πd_{2} = 20π cm

Now, we are given that,

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

πD = πd_{1} + πd_{2}

⇒ πD = 36π + 20π

⇒ πD = 56π

⇒ D = 56

⇒ Radius = 56/2 = 28 cm

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