Area of a Circle Calculator

Area of a Circle Calculator is an online tool that helps to calculate the area of a circle when the radius has been given. A circle is formed when a curve is traced by a point moving at a constant distance from a given fixed point. This fixed point is the center of the circle.

What is Area of a Circle Calculator?

Area of a circle calculator helps you to compute the area of a circle. Using the area of a circle formula we can determine the region occupied by several objects such as wheels, rings, bangles, etc. To use the area of a circle calculator, enter the value of the radius in the given input box.

Area of a Circle Calculator

How to Use the Area of a Circle Calculator?

Please follow the steps given below to find the area of a circle using the area of a circle calculator.

• Step 1: Go to Cuemath's online area of a circle calculator.
• Step 2: Enter the radius of the circle in the given input box.
• Step 3: Click on the "Calculate" button to find the area.
• Step 4: Click on the "Reset" button to clear the field and enter new values.

How Does Area of a Circle Calculator Work?

Area of a circle can be defined as the space that has been enclosed within the boundary of the circle. There are certain important terms associated with a circle that a student must be aware of. These are given below:

• Circumference - The boundary surrounding the circle is called its circumference. It can also be referred to as the perimeter of the circle.
• Radius - The line segment joining the center of the circle to any point on the circumference is known as the radius. A circle has multiple radii. It is often denoted by r.
• Diameter - The straight line that passes through the center of the circle and connects two points on the circumference is known as the diameter. The length of the diameter is double the length of the radius. It is represented by d.

The area of a circle is given by the following formula:

Area of a circle = πr²

Here, π is a constant with a value of 22/7 or 3.14.

We can also express the area in terms of diameter.

Area of a circle = πd²/4.

Solved Examples on Area of a Circle

Example 1: Find the area of a circle if the radius is equal to 7 units and verify it using the area of a circle calculator.

Solution:

Area of circle = π r² square units.

Area = 3.14 × 7 × 7

Area = 153.86 square units.

Area of circle = 153.86 square units.

Example 2: Find the area of a circle if the radius is equal to 17 units and verify it using the area of a circle calculator.

Solution:

Area of circle = π r² square units.

Area = 3.14 × 17 × 17

Area = 907.92 square units.

Area of circle = 907.92 square units.

Similarly, you can try the area of a circle calculator to find the area of a circle that has the following radius.

• 3 units
• 21 units
• 15 units

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