Find the area of a circle with a radius of 4.2 feet.

Find the Area of a Circle with a Radius of 4.2 Feet

What does "Find the area of a circle with a radius of 4.2 feet" mean? Understand first

When we are asked to find the area of a circle with a radius of 4.2 feet, we are being asked to determine the amount of space enclosed within the circle. The radius is the distance from the center of the circle to any point on its circumference, and in this case, it is given as 4.2 feet.

What is the answer to "Find the area of a circle with a radius of 4.2 feet"? Give the answer first

The answer to this problem is the area of the circle, which can be calculated using the formula A = πr^2, where A represents the area and r represents the radius. Plugging in the given radius of 4.2 feet, we can calculate the area as follows:

A = π(4.2)^2 = 55.389 ft^2

Therefore, the area of the circle with a radius of 4.2 feet is approximately 55.389 square feet.

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, 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 "Find the area of a circle with a radius of 4.2 feet" and finally get the answer, expressed in numbers

To find the area of a circle with a radius of 4.2 feet, we will use Method 1:

1. The formula for calculating the area of a circle is A = πr^2.
2. Plug in the given radius: A = π(4.2)^2.
3. Calculate the square of the radius: A = π(17.64).
4. Multiply π by 17.64: A ≈ 55.389.
5. Therefore, the area of the circle with a radius of 4.2 feet is approximately 55.389 square feet.

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 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 compass steady, rotate it 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:

• 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 point and touching two points on the circumference. It is equal to twice the radius.
• Circumference: The distance around the circle.
• Area: The amount of space enclosed within the circle.

What does Π mean?

The symbol Π (pi) represents the mathematical constant that is the ratio of a circle's circumference to its diameter. It is an irrational number, approximately equal to 3.14159, but it can be rounded to 3.14 for most calculations.

The origin of Π?

The origin of the symbol Π (pi) can be traced back to ancient Greece. The Greek mathematician Archimedes was the first to use the symbol to represent the ratio of a circle's circumference to its diameter. The symbol Π comes from the Greek word "perimetros," meaning circumference.

Frequently asked questions about circles

Question: Find the area of a circle with a radius of 4.2 feet.

Answer: The area of a circle with a radius of 4.2 feet is approximately 55.389 square feet.