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Area of a Circle Calculator

Calculating the area of a circle is one of the basic topics in Geometry. One simply needs to know the radius of the circle. In this calculator, the radius is entered and the calculator can find the area instantly.

Area of a circle formula

\text{Area of circle } = \pi \times \text{ r}^2

How to calculate the area of the circle?

Step 1 : Enter the radius of the circle

Step 2 : Click the Calculate button

Step 3 : If you want to view the calculation then click on the Show Solution checkbox

On clicking the Calculate button, the area of the circle will be shown in sq. units.

Examples to try for the calculation of the area of the circle

Q1. Calculate the area of the circle with a radius of 15 units

Solution : \text{Area of circle } = \pi \times \text{ r}^2
= 3.14 \times 15 \times 15 \text{ square units}
= 3.15 \times 225 \text{ square units}
= 706.5 square units

Q2. Calculate the area of the circle with a radius of 25 units

Solution : \text{Area of circle } = \pi \times \text{ r}^2
= 3.14 \times 25 \times 25 \text{ square units}
= 3.14 \times 625 \text{ square units}
= 1962.5 square units

The area of a circle is a fundamental concept in mathematics that is used in many applications, from architecture to engineering to physics. In this article, we will explore the concept of the area of a circle, how to calculate it, and provide a detailed guide on how to use an online area of a circle calculator.

What is a circle?

A circle is a shape that is defined as the set of all points that are equidistant from a given point called the center. A circle can be described by its radius (the distance from the center to any point on the circle) or its diameter (the distance across the circle through the center). Circles have many important properties, such as the fact that the circumference (the distance around the circle) is directly proportional to the diameter, and the fact that the area enclosed by the circle is proportional to the square of the radius.

What is the area of a circle?

The area of a circle is the amount of space that is enclosed by the circle. It is a fundamental concept in geometry and is used in many applications, such as finding the area of a circular garden or the amount of material needed to construct a circular swimming pool. The formula for calculating the area of a circle is:

\text{Area of circle } = \pi \times \text{radius}^2

In this formula, π (pronounced “pi”) is a mathematical constant that is approximately equal to 3.14159. The radius of the circle is the distance from the center to any point on the circle. The formula for the area of a circle can also be expressed in terms of the diameter:

\text{Area of circle } = \pi \times \left(\frac{\text {diameter}}{2}\right)^2

How to calculate the area of a circle?

To calculate the area of a circle, you need to know the value of the radius or the diameter. You can measure these values using a ruler, tape measure, or other measuring tools. Once you have the value, simply plug it into the formula for the area of a circle.

Here’s an example:

Suppose you have a circle with a radius of 5 feet. To find the area of this circle, you would use the formula:

Area = \text{ Area}= \pi \times \text{radius}^2 \text{ Area} = \pi \times \text{5 ft}^2 \text{ Area} = 78.54 \text{ square feet}

So, the area of this circle is 78.54 square feet.

Using an online area of a circle calculator

Calculating the area of a circle by hand can be time-consuming, especially if you have to do it multiple times. Luckily, there are many online calculators available that can do the work for you. These calculators are free, easy to use, and can calculate the area of a circle in seconds.