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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​
  • a)
    56 cm
  • b)
    42 cm
  • c)
    28 cm 
  • d)
    16 cm
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The radius of a circle whose circumference is equal to the sum of the ...
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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