College of Admission Tests Multan

Circles

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Question: 5

circles12 Dup 1 -48982424 A and B are centers of two circles that touch each other externally, as shown in the figure. What is the area of the circle whose diameter is AB ?
  • 25π/4
  • 16π
  • 25π

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Correct Answer: B

Since the two circles touch each other, the distance between their centers, AB, equals the sum of the radii of the two circles, which is 2 + 3 = 5. Hence, the area of a circle with diameter AB (or radius = AB/2) is

circles13 -60256300

The answer is (B).