ExplanationWe know that circumference of a circle = \(\pi \times d\). Here D is diameter of circle.

One smaller circle has diameter PR and other is QR.

Diameter of the largest circle is PQ. Now PQR lie on the same line.

PR + QR = PQ

multiplying \(\pi\) both side

\(\pi \times PR + \pi \times QR = \pi \times PQ\).

Circumference of smaller circle with diameter PR + Circumference of smaller circle with diameter QR = Circumference of larger circle with diameter PQ.

Quantity B = Quantity A.

Hence C is correct option.
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Sandy

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