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: 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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