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04 Nov 2020, 01:15
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B
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Question Stats:
86% (01:05) correct
14%
(00:54)
wrong
based on 139
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A 5 by 12 rectangle is inscribed in a circle. What is the circumference of the circle?
A. \(6.5\pi\)
B. \(13\pi\)
C. \(20\pi\)
D. \(26\pi\)
E. \(42.25\pi\)
A. \(6.5\pi\)
B. \(13\pi\)
C. \(20\pi\)
D. \(26\pi\)
E. \(42.25\pi\)
04 Nov 2020, 01:39
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Explanation:
r^2 = 6^2 + (5/2)^2
r^2 = 36 + 25/4
r^2 = (144+25)/4
r = 13/2
r = 6.5
Circumference of cirle = 2πr = 2x6.5xπ = 13π
IMO-B
r^2 = 6^2 + (5/2)^2
r^2 = 36 + 25/4
r^2 = (144+25)/4
r = 13/2
r = 6.5
Circumference of cirle = 2πr = 2x6.5xπ = 13π
IMO-B
Archit3110
Major Poster
04 Nov 2020, 03:02
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rectangle would give a right angled ∆ 5:12:13
so radius of circle is 6.5
and circumference 13pi
option B
so radius of circle is 6.5
and circumference 13pi
option B
Bunuel
