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A circle is inscribed in a quadrant of a bigger circle, as shown in the figure below.
If the radius of the smaller circle is 2 units, what is the radius of the bigger circle?
  • a)
    2(√2+ 1) units
  • b)
    4√2 units
  • c)
    4(√2+1) units
  • d)
    2(√3+√2) units
Correct answer is option 'A'. Can you explain this answer?

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Related A circle is inscribed in a quadrant of a bigger circle, as shown in the figure below.If the radius of the smaller circle is 2 units, what is the radius of the bigger circle?a)2(√2+ 1) unitsb)4√2 unitsc)4(√2+1) unitsd)2(√3+√2) unitsCorrect answer is option 'A'. Can you explain this answer?
PQ = PS = 2
⇒ OQ = 2 [∵ ΔOQP ≅ ΔOSP]
Let OA = r
OP = (OC - PC) = r - 2
Also, (OP)2 = 2(OQ)2
(r - 2)2 = 2(2)2
⇒ r2 + 4 - 4r = 8
⇒ r2 - 4r - 4 = 0
⇒ r = 2(1 +√2) = 2(√2 + 1)

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Yashraj Sarowar
Nov 04, 2022
A). 2(√2+1) units

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Piyush Khare
Nov 04, 2022
Related A circle is inscribed in a quadrant of a bigger circle, as shown in the figure below.If the radius of the smaller circle is 2 units, what is the radius of the bigger circle?a)2(√2+ 1) unitsb)4√2 unitsc)4(√2+1) unitsd)2(√3+√2) unitsCorrect answer is option 'A'. Can you explain this answer?
C)4(2+1)units

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A circle is inscribed in a quadrant of a bigger circle, as shown in the figure below.If the radius of the smaller circle is 2 units, what is the radius of the bigger circle?a)2(√2+ 1) unitsb)4√2 unitsc)4(√2+1) unitsd)2(√3+√2) unitsCorrect answer is option 'A'. Can you explain this answer? for CAT 2022 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A circle is inscribed in a quadrant of a bigger circle, as shown in the figure below.If the radius of the smaller circle is 2 units, what is the radius of the bigger circle?a)2(√2+ 1) unitsb)4√2 unitsc)4(√2+1) unitsd)2(√3+√2) unitsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2022 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circle is inscribed in a quadrant of a bigger circle, as shown in the figure below.If the radius of the smaller circle is 2 units, what is the radius of the bigger circle?a)2(√2+ 1) unitsb)4√2 unitsc)4(√2+1) unitsd)2(√3+√2) unitsCorrect answer is option 'A'. Can you explain this answer?.
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PQ = PS = 2⇒ OQ = 2 [ ΔOQP ≅ ΔOSP]Let OA = rOP = (OC - PC) = r - 2Also, (OP)2 = 2(OQ)2(r - 2)2 = 2(2)2⇒ r2 + 4 - 4r = 8⇒ r2 - 4r - 4 = 0⇒ r = 2(1 +√2) = 2(√2 + 1)