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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.
Can the area of a circle be larger than the circumference?
N
Which is larger the perimeter of a 2' 4' rectangle or the circumference of a circle with a diameter of 36?
The circumference of the circle is larger than the perimeter of the rectangle.
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.
Is circumference larger than radius?
Yes it is. Circumference is the whole area of the circle. Radius is from the middle to the side of the circle. Yes it is. The radius it half way across the circle from the center, while the circumference is all the way around the circle. The diameter is all the way across the circle, while being twice the radius. The circumference is about 3.14 times the diameter (or Pi if you prefer).
How many times longer is the circumference of a circle than its diameter?
It is larger than the diameter by a factor of Pi (about 3.1416).
What is the difference between diameter and circumference?
Diameter is the distance across a circle through the center. Circumference is the distance around the outside of a circle. Circumference is always pi (3.14) times larger than diameter.Note:pi is approximately 3.14
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
What does pi actually represent?
Generally, Pi is used to represent the rate of change of the circumference of a circle as it's diameter increases. This can be shown using the equation [circumference = Pi * diameter], that is the circumference of a circle is always Pi times larger than it's diameter.
How many times larger is the earth's circumference's than Luna?
The Earth's circumference is about 10 times larger than the Moon's circumference.
Is the perimeter of a polygon less than the area of the polygon?
if your perimeter totals the same as 4 times pi then the maximum area that can be encompassed is equal to the perimeter. This is done by forming a circle. if you change the shape of the circle then the area will become smaller than the perimeter(circumference) if you make the circumference of the circle smaller then you will definitely decrease the area faster than you would the perimeter if you make the perimeter bigger then you will definitely increase the area faster than you would the perimeter.
What is the area of greater than 16 with a perimeter of 16?
A circle with a circumference (perimeter) of 16 units has an area of approx 20.4 units.
How many times is the circumference bigger than the diameter of a circle?
The circumference of a circle is 3.14159… times, or pi times bigger than its diameter.
