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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?
Verified 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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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 isa)56 cmb)42 cmc)28 cmd)16 cmCorrect answer is option 'C'. Can you explain this answer?
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