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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?

Bakliwal Institute
Sep 24, 2022 |

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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?

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}

⇒ r^{2} + 4 - 4r = 8

⇒ r^{2} - 4r - 4 = 0

⇒ r = 2(1 +√2) = 2(√2 + 1)

⇒ OQ = 2 [∵ ΔOQP ≅ ΔOSP]

Let OA = r

OP = (OC - PC) = r - 2

Also, (OP)

(r - 2)

⇒ r

⇒ r

⇒ r = 2(1 +√2) = 2(√2 + 1)

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Piyush Khare
Nov 04, 2022 |

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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?

C)4(2+1)units

Question Description

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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)