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A 7 by 24 rectangle is inscribed in a circle. What is the circumferen
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16 Feb 2022, 05:00
16 Feb 2022, 05:00
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A 7 by 24 rectangle is inscribed in a circle. What is the circumference of the circle?
A \(7 \pi\)
B \(12.5 \pi\)
C \(24 \pi\)
D \(25 \pi\)
E \(31 \pi\)
A \(7 \pi\)
B \(12.5 \pi\)
C \(24 \pi\)
D \(25 \pi\)
E \(31 \pi\)
A 7 by 24 rectangle is inscribed in a circle. What is the circumferen
[#permalink]
16 Feb 2022, 05:39
16 Feb 2022, 05:39
1
Quote:
The diagonals of a rectangle bisect each other in a rectangle and since it is inscribed in a circle hence the half of the diagonal is also the radius of the circle
Consider the image below for a proper understanding. Here BD is the diagonal and OD is the radius of the circle. Consider x and y as 24 and 7. Hence by Pythagoras you can find BD = \sqrt{\(24^2+7^2\)}.
Now radius = BD/2 = 12.5
Circumference = \(2*pi*radius\) = 25*pi
Hence Option D is the answer.
gmatclubot
A 7 by 24 rectangle is inscribed in a circle. What is the circumferen [#permalink]
16 Feb 2022, 05:39
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