Find the area of a circle with a radius of 7.2 inches.

Find the Area of a Circle with a Radius of 7.2 inches

What does "Find the area of a circle with a radius of 7.2 inches" mean? Understand first

When we are asked to find the area of a circle with a radius of 7.2 inches, 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. In this case, the radius is given as 7.2 inches.

What is the answer to "Find the area of a circle with a radius of 7.2 inches"? Give the answer first

The answer to finding the area of a circle with a radius of 7.2 inches is approximately 162.86 square inches.

How to solve the problem: hints

Method 1: If radius is given

1. First, list the formulas for calculating the area and radius of a circle.

   • The formula for the area of a circle is A = πr^2, where A represents the area and r represents the radius.
   • The formula for the radius of a circle is r = d/2, where d represents the diameter.

2. Plug the radius of the circle into the formula.

   • In this case, the radius is given as 7.2 inches.

3. Finally, calculate the area using the formula and express the answer in numbers.

Method 2: If diameter is given

1. First, list the formulas for calculating the area and diameter of a circle.

   • The formula for the area of a circle is A = πr^2, where A represents the area and r represents the radius.
   • The formula for the diameter of a circle is d = 2r, where d represents the diameter.

2. Plug the diameter of the circle into the formula.

   • In this case, the diameter can be calculated as 2 * 7.2 inches = 14.4 inches.

3. Calculate step by step using the formula for area and express the answer in numbers.

Method 3: If the circumference of the circle is given

1. First, list the formulas for calculating the area and circumference of a circle.

   • The formula for the area of a circle is A = πr^2, where A represents the area and r represents the radius.
   • The formula for the circumference of a circle is C = 2πr, where C represents the circumference and r represents the radius.

2. Plug the circumference of the circle into the formula.

   • In this case, the circumference is not given, so this method cannot be used.

3. Finally, calculate the area using the formula and express the answer in numbers.

Step by step solution to "Find the area of a circle with a radius of 7.2 inches" and finally get the answer, expressed in numbers

Using Method 1:

1. The formula for the area of a circle is A = πr^2.
2. Plug in the radius, which is 7.2 inches.
   • A = π(7.2)^2
3. Calculate the area.
   • A ≈ 3.14159 * (7.2)^2 ≈ 162.86 square inches.

Therefore, the area of a circle with a radius of 7.2 inches is approximately 162.86 square inches.

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 one of the most fundamental shapes in mathematics and has various properties and formulas associated with it.

How to draw a circle?

To draw a circle, you need a compass, which is a tool with two arms, one with a pointed end and the other with a pencil or pen. Follow these steps:

1. Place the pointed end of the compass at the center point of the circle.
2. Adjust the other end with the pencil or pen to the desired radius length.
3. Keeping the pointed end fixed, rotate the compass 360 degrees around the center point, creating a perfect circle.

What data does the circle have?

A circle has several important measurements and properties:

• 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, 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 has infinite decimal places and cannot be expressed as a fraction.

The origin of Π?

The origin of the symbol Π (pi) can be traced back to ancient Greek mathematicians. It was first used by the mathematician William Jones in 1706 and later popularized by the Swiss mathematician Leonhard Euler in the 18th century.

Frequently asked questions about circles

Question: Find the area of a circle with a radius of 7.2 inches.

Answer: The area of a circle with a radius of 7.2 inches is approximately 162.86 square inches.