A circle is inscribed in a quadrant of a bigg...
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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 Bakliwal Institute Sep 24, 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?
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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