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A circle’s area equals its circumference. What is its radius
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19 Sep 2018, 17:39
19 Sep 2018, 17:39
Expert Reply
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Question Stats:
91% (00:22) correct
8% (00:14) wrong based on 36 sessions
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A circle’s area equals its circumference. What is its radius?
(A) 1
(B) 2
(C) 4
(D) 8
(E) 16
(A) 1
(B) 2
(C) 4
(D) 8
(E) 16
Re: A circle’s area equals its circumference. What is its radius
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25 Sep 2018, 21:20
25 Sep 2018, 21:20
1
from the given information \(2*\pi*r = \pi r^2\)
solving for r we get \(r = 2\)
solving for r we get \(r = 2\)
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Re: A circle’s area equals its circumference. What is its radius
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10 Dec 2021, 10:09
10 Dec 2021, 10:09
Area of Circle with radius r = \(\pi r^2\)
Circumference of a Circle with radius r = \(2 \pi r\)
Area of Circle = Circumference
=> \(\pi r^2\) = \(2 \pi r\)
=> \(r^2\) = 2r
=> \(r^2\) - 2r = 0
=> r (r-2) = 0
=> r = 0 or 2
r cannot be 0 => r = 2
So, Answer will be B
Hope it helps!
Watch the following video to Learn Basics of Circles
Circumference of a Circle with radius r = \(2 \pi r\)
Area of Circle = Circumference
=> \(\pi r^2\) = \(2 \pi r\)
=> \(r^2\) = 2r
=> \(r^2\) - 2r = 0
=> r (r-2) = 0
=> r = 0 or 2
r cannot be 0 => r = 2
So, Answer will be B
Hope it helps!
Watch the following video to Learn Basics of Circles
