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Q: Is the circumference always numerically bigger than the area?
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Which is bigger the area or the perimeter of a polygon?

You cannot really compare whether the area or perimeter is bigger, since they have different units. If you want to compare which one is numerically bigger, that depends primarily on what units you are using, as well as the magnitude of the lengths.


Is the area of a circle larger than the circumference?

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.


Can the diameter be bigger than the circumference?

You cannot really compare those two different kinds of values - it's quite nonsense to compare area versus circumference. You could compare numbers but they'll vary depending on your choice of units. Anyway, it's perfectly possible to have shape of area, say, 1 m2 and circumference measured in kilometers - if the shapes perimeter is ragged.


Can a circumference of a circle be the same as the area of the circle?

No, because the circumference is a linear measure whereas the area is a square measure. However, they can have the same numerical value. If a circle has radius r cm, its circumference is 2*pi*r cm while its area is pi*r2 cm2. These two are numerically equal if 2*pi*r = pi*r2 that is, r = 2 when both measures are 4*pi = 12.6 approx. The fact that the dimensions are different means that, in other units (inches for example) the same circle will not have equal circumference and area. In this case, the circle has a circumference of 4.9 inches and an area of 1.9 sq inches: not the same.


Is the perimeter of a triangle always bigger than the area of a triangle?

no


How do you get the circumference of a circle knowing the area?

area = π x radius2 ⇒ radius = √(area ÷ π) circumference = 2π x radius ⇒ circumference = 2π x √(area ÷ π) ⇒ circumference = √(4π2 x area ÷ π) ⇒ circumference = √(4π x area) So knowing the area, the circumference can be calculated by taking the square root of the area multiplied by 4 times π Example: What is the circumference of a circle with area 78.54cm2 Circumference = √(4π x area) = √(4π x 78.54cm2) ~= 31.42cm


What happens if double the diameter?

Nothing happens. A person sitting next to you won't know that you did anything to your circle. But you'll have a bigger circle. The radius will be double the originasl radius. The circumference will be double the original circumference. The area will be four times the original area.


How do you find the area of a cirle with the circumference?

Area = circumference squared... You do circumference divided by 4,... and then divide that by Pi.


What is the formula for area circumference?

Area = (Circumference)2/(4*pi)


How did they arrive at the geometric formula for a circle?

The circumference of any circle divided by its diameter is always equal to pi. With this information we can work out various properties of the circle such as its circumference or its area.


How you get area of a circle from the circumference?

Circumference = 2πr so r = circumference/2π Then area = πr2


Is circumference squared or cubed?

Circumference isn't squared OR cubed. However, Surface Area is squared and so is Area. So Circumference is just Circumference :)