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Two circles share a center at point C, as shown. Segment AC is broken up into two shorter segments, AB and BC, with dimensions shown. What is the ratio of the area of the large circle to the area of the small circle?
  • a)
    25/4
  • b)
    5/2
  • c)
    3/2
  • d)
    2/5
  • e)
    4/25
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Two circles share a center at point C, as shown. Segment AC is broken ...
The radius of the small circle is 2.  Calculating the area gives:
Area = πr2
Area small circle =π(2)2 = 4π
The radius of the large circle is 5.  Calculating the area gives:
Area = πr2
Area large circle  = π(5)2 = 25π
So, the ratio of the area of the large circle to the area of the small circle is:
25π/4π = 25/4
The correct answer is A
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Two circles share a center at point C, as shown. Segment AC is broken up into two shorter segments, AB andBC, with dimensions shown. What is the ratio of the area of the large circle to the area of the small circle?a)25/4b)5/2c)3/2d)2/5e)4/25Correct answer is option 'A'. Can you explain this answer?
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