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Area = pi x r squared
In other words, pi times the (radius squared)
Your answer gives the area using radius. The question asked for area using circumference.
Here are the formulas:
circumference = 2 X pi X r
area = pi X r2
Square both side of the first equation.
circumference2 = 4 X pi2 X r2
Then solve for r2.
r2 = circumference2/4pi2
Substitute circumference2/4pi2 for r2 in the second equation.
area = pi X circumference2/4pi2
Simplify.
area = circumference2 / 4pi
Let's test the formula using an example
Consider a circle of diameter 10 ft.
Circumference is 2 X pi X r
r = 1/2 X diameter
Circumference = 2 X 3.1416 X 5 = 31.416 ft
Area = pi X r2
Area = 3.1416 X 52 = 78.54 sq ft
Area determined from circumference:
Area = circumference2 / 4pi
Area = 31.4162 / 4 X 3.1416 = 78.54 ft
78.54 ft was the answer calculated for area using either radius or circumference; so the formula checks out.
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How do you find the circumference if you a have the area?
You can find the circumference of a circle if you know its area by using the formulas for area and circumference. First, use the formula for area: A = pi r2. Replace A with the number for the area. Solve the formula for r, the radius of the circle, dividing A by pi and taking the square root of the answer. Once you have the number for r, the radius of the circle, plug that value in place of r in the formula for the circumference: C = 2 pi r. Then you can calculate the circumference of the circle by multiplying pi times twice the radius.
How do you find the area of a cylinder using it's circumference?
Take the circumference and multiply it by it's height to get the lateral surface area.
How do you find the area of a circle knowing only the circumference?
To find the area of a circle knowing only the circumference, you can use the formula A = (C^2) / (4π), where A is the area and C is the circumference. Square the circumference, then divide it by 4π to get the area.
How do you find the radius of a circle using an equation?
What do you have? The area of the circle or the circumference? Area: divide the area by pi, then square root it Circumference: divide the circumference by 2 then divide it by pi
Using the formula C 2 r find the circumference of a circle with diameter of 28 inches?
Thee formula for the circumference of a circle should read 2*pi*radius or pi*diameter. In which case using either formula its circumference is 88 inches rounded.
How do you find the area of a circle using circumference?
Circumference = 2*radius Area = 2*pi*radius2 Area = 2*pi*(circumference/2)2
Area of a Circle using Function in C?
To find the area of a circle using the circumference, you need to use the formula Area=Circumference squared divided by four times pi. For this type of equation, pi would be equal to 3.14.
How do you find the circumference if you a have the area?
You can find the circumference of a circle if you know its area by using the formulas for area and circumference. First, use the formula for area: A = pi r2. Replace A with the number for the area. Solve the formula for r, the radius of the circle, dividing A by pi and taking the square root of the answer. Once you have the number for r, the radius of the circle, plug that value in place of r in the formula for the circumference: C = 2 pi r. Then you can calculate the circumference of the circle by multiplying pi times twice the radius.
How do you calculate circumference and area of pi?
Pi is the number of times the diameter of a circle will fit into the circumference. Pi is not a circle, and does not have a circumference or area. To calculate a circumference USING pi, the circumference is diameter * pi. To find the area using pi, area = pi * radius * radius
How do you find the area of a cylinder using it's circumference?
Take the circumference and multiply it by it's height to get the lateral surface area.
How do you find the area of a circle knowing only the circumference?
To find the area of a circle knowing only the circumference, you can use the formula A = (C^2) / (4π), where A is the area and C is the circumference. Square the circumference, then divide it by 4π to get the area.
Using the formula C 2 r find the circumference of a circle with diameter of 28 inches?
Thee formula for the circumference of a circle should read 2*pi*radius or pi*diameter. In which case using either formula its circumference is 88 inches rounded.
How do you find the radius of a circle using an equation?
What do you have? The area of the circle or the circumference? Area: divide the area by pi, then square root it Circumference: divide the circumference by 2 then divide it by pi
Can you give me information on area of circle made by Aryabhatta in mathematics?
Aryabhatta found area of circle as pi*d^2/4 which is equal to pi*r^2. He gave direct results in his book aryabhattiyam. He also stated volume of sphere as 1.776pi*r^3, which is approximately correct.
How do you find the area of a circle by using its circumference y?
From the circumference y, you can find the diameter by dividing by pi. Knowing the diameter, you can calculate the area by either dividing the diameter by 2, squaring it and multiplying by pi, or by squaring the diameter, dividing by 4 and then multiplying by pi (they are mathematically equivalent). The end result is that you can calculate the area of a circle with circumference y from the formula: Area = π(y/2π)² = y²/4π
How do you find area of a circle when you have the circumference circle?
Divide the circumference by pi, and that will give you the diameter. Then take half of the diameter (the radius), and plug it into the formula for the area of a circle (A=πr²)
What is the radius and the area of a circle?
The radius of a circle is the distance from the center to any point on the circle. The area is the space within the circle. The formula to find the area is πr2. r stands for the radius of the circle. If you want to find the radius, you can work backwards from the area or the circumference, which is the perimeter of the circle. The formula for circumference is 2πr.
