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Question
If the sum of the circumferences of two circles with radii R1 and R2 is equal to the circumference of a circle of radius R, then ______.
Options
R1 + R2 = R
R1 + R2 > R
R1 + R2 < R
Nothing definite can be said about the relation among R1, R2 and R.
None of these
Solution
If the sum of the circumferences of two circles with radii R1 and R2 is equal to the circumference of a circle of radius R, then R1 + R2 = R.
Explanation:
According to the question,
Circumference of circle with radius R = Circumference of first circle with radius R1 + Circumference of second circle with radius R2
∴ 2πR = 2πR1 + 2πR2
⇒ R = R1 + R2
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