Emike56 wrote:
sandy wrote:
Explanation
We 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.
Even though your explanation is still not clear, I will trust your reasoning on this one. Anytime I see a similar question, even if it has 5 circles inside the major circle and they are tangent, I will assume the circumference is equal to that of the major circle.
Fair bit of advice. Never assume anything unless it's given. I learned that the hard way.
Moreover, it's stated here that 'three circles
with their centers on line segment PQ are tangent at points P, R, and Q where point R lies on segment PQ.' If centers are lying on PQ then we can say PQ is diameter of the biggest circle and thus solve as given.