Multiple choice

The radius of two circles are 19 cm. and 9 cm. respectively. Find the area of the circle which has its circumference equal to the sum of the circumferences of the two circles. दो वृत्तों की त्रिज्यायें क्रमशः 19 सेमी. और 9 सेमी. हैं। उस वृत्त का क्षेत्रफल ज्ञात कीजिए जिसका परिमाप दोनों वृत्तों के परिमाप के योग के बराबर है।

  1. 2464 cm2 /सेमी2

  2. 2644 cm2 /सेमी2

  3. 2446 cm2 /सेमी2

  4. 4246 cm2 /सेमी2
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A Correct answer
Explanation

Circumference of first circle = 2π × 19 = 38π. Circumference of second = 2π × 9 = 18π. Sum = 56π. For new circle: 2πR = 56π, so R = 28 cm. Area = π(28)² = 784π = 784 × 22/7 = 2464 cm². The radius of the new circle is the sum of individual radii when adding circumferences.

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