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Find the diameter of the circle that has a circumference equal to its area. 2 4 8 10
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Find the diameter of the circle that has a circumference equal to its area. 2 4 8 10
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Jul 22, 2016
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Find the diameter of the circle that has a circumference equal to its area.
2
4
8
10
Mathematics
high-school
Nagarjun Prasad
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Nagarjun Prasad
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The formula for circumference of a circle:
The formula for area of a circle:
r - radius
The circumference is equal to the area.
The diameter is two times the radius.
Dr Phil
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Jul 24, 2016
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Dr Phil
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Circumference may have the same numerical magnitude as area, but they will never be "equal". Circumference is a length or distance, and area is an area.
So they can never have the same units, and quantities can't be equal without
the same units.
You might say that π D (circumference) = π (D/2)² (area) .
Then D = (D/2)²
D = D² / 4
1 = D / 4
D = 4
.
But this is no more than a parlor trick. In order to do it, you need to
ignore units completely, and that's unacceptable in math.
Ashkulz
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Jul 26, 2016
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Ashkulz
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