Calculate the area of a circle with a circumference of 37.68 meters.

Calculate the Area of a Circle with a Circumference of 37.68 meters

What does "Calculate the area of a circle with a circumference of 37.68 meters" mean? Understand first

When we are asked to calculate the area of a circle with a given circumference, we are essentially finding the amount of space enclosed within the circle. The circumference is the distance around the circle, while the area is the measure of the surface inside the circle.

What is the answer to "Calculate the area of a circle with a circumference of 37.68 meters"? Give the answer first

The answer to this problem is the area of the circle, expressed in square meters. To find the area, we need to use the given circumference and apply the appropriate formula.

The area of a circle with a circumference of 37.68 meters is approximately 113.04 square meters.

How to solve the problem: hints

There are multiple methods to solve this problem, depending on the information given. Here are three common methods:

Method 1: If radius is given

1. List the formulas for calculating the area and radius of a circle.
2. Plug the radius of the circle into the formula.
3. Finally, calculate the area and express the answer in square meters.

Method 2: If diameter is given

1. List the formulas for calculating the area and diameter of a circle.
2. Plug the diameter of the circle into the formula.
3. Calculate step by step to find the radius.
4. Finally, calculate the area and express the answer in square meters.

Method 3: If the circumference of the circle is given

1. List the formulas for calculating the area and circumference of a circle.
2. Plug the circumference of the circle into the formula.
3. Finally, calculate the area and express the answer in square meters.

Step by step solution to calculate the area of a circle with a circumference of 37.68 meters and finally get the answer, expressed in numbers

1. Use the formula for the circumference of a circle: C = 2πr, where C is the circumference and r is the radius.
2. Rearrange the formula to solve for the radius: r = C / (2π).
3. Substitute the given circumference into the formula: r = 37.68 / (2π).
4. Calculate the value of r using a calculator: r ≈ 6.
5. Use the formula for the area of a circle: A = πr^2, where A is the area and r is the radius.
6. Substitute the calculated radius into the formula: A = π(6)^2.
7. Calculate the value of A using a calculator: A ≈ 113.04.
8. The area of the circle with a circumference of 37.68 meters is approximately 113.04 square meters.

What is a circle?

A circle is a two-dimensional geometric shape that consists of all points in a plane that are equidistant from a fixed center point. It is perfectly round and has no corners or edges.

How to draw a circle?

To draw a circle, you can use a compass, which is a tool with two arms. Place the sharp end of the compass at the center point of the circle and rotate the other end around it. This will create a perfect circle.

What data does the circle have?

A circle has several important measurements:

• Radius: The distance from the center of the circle to any point on its circumference.
• Diameter: The distance across the circle, passing through the center and touching two points on the circumference.
• Circumference: The distance around the circle.
• Area: The measure of the surface enclosed within the circle.

What does Π mean?

The symbol Π (pi) represents the mathematical constant that is the ratio of the circumference of any circle to its diameter. It is an irrational number, approximately equal to 3.14159.

The origin of Π?

The origin of the symbol Π can be traced back to the ancient Greek mathematician Archimedes. He used the letter Π to represent the perimeter of a circle in his mathematical works.

Frequently asked questions about circles

Question: Calculate the area of a circle with a circumference of 37.68 meters.

Answer: The area of a circle with a circumference of 37.68 meters is approximately 113.04 square meters.