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What is the area of the circle centered at O and inside of square PQRS
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07 Jan 2022, 07:19
07 Jan 2022, 07:19
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Question Stats:
75% (01:06) correct
25% (01:26) wrong based on 12 sessions
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What is the area of the circle centered at O and inside of square PQRS?
A. \(\frac{25}{8} \pi\)
B. \(\frac{25}{4} \pi\)
C. \(\frac{25}{2} \pi\)
D. \(25 \pi\)
E. \(50 \pi\)
Re: What is the area of the circle centered at O and inside of square PQRS
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26 Jan 2022, 03:18
26 Jan 2022, 03:18
1
\(PQRS\) is a square.
\(PR = 5\)
so side of the square \(= \frac{PR}{\sqrt{2}} = \frac{5}{\sqrt{2}}\)
Side of the square = diameter of the circle = \(\frac{5}{\sqrt{2}}\)
Radius \(= \frac{5}{2\sqrt{2}}\)
Area \(= πr^2 = π * \frac{25}{8}\)
Answer A
\(PR = 5\)
so side of the square \(= \frac{PR}{\sqrt{2}} = \frac{5}{\sqrt{2}}\)
Side of the square = diameter of the circle = \(\frac{5}{\sqrt{2}}\)
Radius \(= \frac{5}{2\sqrt{2}}\)
Area \(= πr^2 = π * \frac{25}{8}\)
Answer A
gmatclubot
Re: What is the area of the circle centered at O and inside of square PQRS [#permalink]
26 Jan 2022, 03:18
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