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The area is measured in square units, while the circumference is measured in linear units. The two are not directly comparable. It does not make sense to compare different kinds of units, for example, which is larger: a foot or a gallon?
If you just want to compare the numerical values while ignoring the units, you get different results for the same circle depending on the units of measurement you choose.
The formula for the area of a circle is pi x r2.
The formula for the circumference of a circle is pi x 2 x r.
So, for example, if the radius is 2 cm, the area is 4 pi cm2 and the circumference is 4 pi cm, they are equal numerically.
But 2 cm is the same thing as .02 m. If we use .02 m instead, we get the area is .0004 pi m2 and the circumference is .04 pi m. The circumference is numerically larger.
The above example shows why it does not make sense to compare area to circumference. You get a different answer for the same circle depending on what unit of measurement you use.
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How many times is the circumference shorter than the diameter of a circle?
Given a diameter d, the circumference of a circle is Pi*d. Thus the circumference is Pi times larger than the diameter.
What percent larger is the area of a 5in circle as compared to a 4in circle?
The area of a 5-inch circle is: 19.6 square inches.The area of a 4-inch circle is: 12.6 square inches.The area of the 5-inch circle is 55.6% larger than the 4-inch circle
Why is the area of a circle bigger than a square with the same perimeter?
It is not. If you draw yourself a square then inscribe a circle with a radius of half the length of a side of the square, the circle will fit inside the square but the corners of the square will be outside the circle. Thus by inspection the area of the square is larger than the area of the circle.
Is the circumference always longer than the diameter of a circle?
Yes, always
How many one foot wide bricks are needed for a circumference that has a diameter of ten and a half feet?
The circumference of a circle is pi x diameter, where pi equals approximately 3.14. Therefore, the inner circumference of a brick circle with an inside diameter of 10.5 feet is 32.99 feet. As a result, 33 one foot bricks would create a circle with a diameter slightly larger than 10.5 feet, without any gaps between the bricks.
