Determine the area of a circle with a diameter of 22 feet.

Determine the Area of a Circle with a Diameter of 22 Feet

What does "Determine the area of a circle with a diameter of 22 feet" mean? Understand first

When we are asked to determine the area of a circle with a diameter of 22 feet, we are being asked to find the amount of space enclosed within the circle. The diameter is the distance across the circle passing through its center, and it is given as 22 feet.

What is the answer to "Determine the area of a circle with a diameter of 22 feet"? Give the answer first

The answer to this problem is the area of the circle, which can be calculated using the formula:

Area = π * (radius)^2

In this case, since we are given the diameter, we can find the radius by dividing the diameter by 2. Therefore, the radius is 11 feet.

Plugging the radius into the formula, we get:

Area = π * (11)^2

Calculating this, we find that the area of the circle is approximately 380.13 square feet.

How to solve the problem: hints

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, get the answer, expressed in numbers.

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.
4. Finally, get the answer, expressed in numbers.

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, get the answer, expressed in numbers.

Step by step solution to "Determine the area of a circle with a diameter of 22 feet" and finally get the answer, expressed in numbers

1. Given the diameter of 22 feet, divide it by 2 to find the radius. The radius is 11 feet.
2. Use the formula for the area of a circle: Area = π * (radius)^2.
3. Plug in the value of the radius: Area = π * (11)^2.
4. Calculate the square of 11: Area = π * 121.
5. Multiply π by 121: Area ≈ 380.13 square feet.
6. Therefore, the area of the circle with a diameter of 22 feet is approximately 380.13 square feet.

What is a circle?

A circle is a two-dimensional geometric shape that is perfectly round and consists of all points in a plane that are equidistant from a fixed center point. It is often represented by the symbol "O" or by drawing a closed curve with no corners or edges.

How to draw a circle?

To draw a circle, you will need a compass and a pencil. Follow these steps:

1. Place the pointed end of the compass at the center point of the circle.
2. Adjust the other end of the compass to the desired radius length.
3. Keeping the pointed end fixed, rotate the compass 360 degrees around the center point.
4. The pencil will trace out a perfect circle.

What data does the circle have?

A circle has several important measurements:

• Diameter: The distance across the circle passing through its center.
• Radius: Half the length of the diameter, i.e., the distance from the center to any point on the circle.
• Circumference: The distance around the circle.
• Area: The amount of space enclosed within the circle.

What does Π mean?

The symbol Π (pronounced "pi") represents the mathematical constant pi, which is the ratio of the circumference of any circle to its diameter. It is an irrational number, meaning it cannot be expressed as a simple fraction or a finite decimal. The approximate value of pi is 3.14159, but it extends infinitely without repeating.

The origin of Π?

The symbol Π comes from the Greek word "pi" (π), which is the first letter of the Greek word "periphery." The use of this symbol to represent the mathematical constant pi was introduced by the Welsh mathematician William Jones in 1706 and popularized by the Swiss mathematician Leonhard Euler in the 18th century.

Frequently asked questions about circles

Question: Determine the area of a circle with a diameter of 22 feet.

Answer: The area of a circle with a diameter of 22 feet is approximately 380.13 square feet.