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The area of circle C in square feet is equal to its circumference in f
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16 Jun 2021, 02:12
16 Jun 2021, 02:12
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Question Stats:
95% (00:36) correct
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The area of circle C in square feet is equal to its circumference in feet. What is the circle’s diameter?
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Re: The area of circle C in square feet is equal to its circumference in f
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16 Jun 2021, 02:48
16 Jun 2021, 02:48
1
given
area = circumference
\(πr^2 = 2πr\)
r=2
diameter = 4
area = circumference
\(πr^2 = 2πr\)
r=2
diameter = 4
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Re: The area of circle C in square feet is equal to its circumference in f
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10 Dec 2021, 09:25
10 Dec 2021, 09:25
1
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
Diameter of Circle with Radius r = 2r
=> Diameter = 2*2 = 4
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
Diameter of Circle with Radius r = 2r
=> Diameter = 2*2 = 4
Hope it helps!
Watch the following video to Learn Basics of Circles
