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PQRS is a circle and circles are drawn with PO, QO, RO and SO as diameters. Areas A and B are marked. A/B is equal to:
  • a)
    π
  • b)
    1
  • c)
    π/4
  • d)
    2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
PQRS is a circle and circles are drawn with PO, QO, RO and SO as diame...
Such questions are all about visualization and ability to write one area in terms of others.

Here,

Let the radius of PQRS be 2r 

∴ Radius of each of the smaller circles = 2r/2 = r

∴ Area A can be written as 

A = π (2r)2 – 4 x π(r)2 (Area of the four smaller circles) + B (since, B has been counted twice in the previous subtraction)

=) A = 4πr2 - 4πr2 + B

=) A = B

=) A/B = 1

Choice (B) is therefore, the correct answer.

Correct Answer: 1
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Most Upvoted Answer
PQRS is a circle and circles are drawn with PO, QO, RO and SO as diame...
Such questions are all about visualization and ability to write one area in terms of others.

Here, Let the radius of PQRS be 2r 
∴ Radius of each of the smaller circles = 2r/2 = r

Area A can be written as:
A = π (2r)2 – 4 x π(r)2 (Area of the four smaller circles) + B (since, B has been counted twice in the previous subtraction)
A = 4πr2 - 4πr2 + B
A = B
A/B = 1
Choice (B) is therefore, the correct answer.
Correct Answer: 1
Free Test
Community Answer
PQRS is a circle and circles are drawn with PO, QO, RO and SO as diame...
Such questions are all about visualization and ability to write one area in terms of others.

Here, Let the radius of PQRS be 2r 
∴ Radius of each of the smaller circles = 2r/2 = r

Area A can be written as:
A = π (2r)2 – 4 x π(r)2 (Area of the four smaller circles) + B (since, B has been counted twice in the previous subtraction)
A = 4πr2 - 4πr2 + B
A = B
A/B = 1
Choice (B) is therefore, the correct answer.
Correct Answer: 1
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PQRS is a circle and circles are drawn with PO, QO, RO and SO as diameters. Areas A and B are marked. A/B is equal to:a)πb)1c)π/4d)2Correct answer is option 'B'. Can you explain this answer?
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