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Circle Area Calculator

Introduction

Welcome to our Circle Area Calculator! which will help you calculate the circle’s area quickly and accurately. A circle is a two-dimensional, closed-round shape with no corners or edges. So, the circle is a figure where all the points on the circle are equidistant from the center. The length of the distance from the center to the circle is called the radius.

The space occupied by the circle on the two-dimensional plane is called the area of the circle.

How to use the Circle Area Calculator?

Using the circle area calculator, you can calculate the circle area by inputting the radius values.

The variables in the Circle Area Calculator include:

Radius (r) The length from the center to the circle.

Area of the circle (A) We can calculate the area of the circle by using the following formula

Area (A)=π×r2\text{Area (A)} = \pi\times r^2

Where,

r = Radius of the Circle

What is a Circle?

A circle is a two-dimensional geometric shape defined as the curve connecting the set of points on a plane that is a fixed distance from the center of the circle.

Two times the radius is also called the diameter; it is a line that passes through the center, and its endpoints lie on two distinct points on the circle. Hence, the diameter divides the circle into two halves, called semicircles.

Properties of a Circle

  1. All the points in the circle are equidistant from the center.
  2. If two circles have the same radius, then the circles will be congruent to each other.
  3. The diameter is the largest cord of the circle, and it divides the circle into two equal parts.
  4. If two chords are of equal length, they will be equidistant from the center of the circle.
  5. The perpendicular bisector drawn from the chord passes through the center of the circle.

How is the Area of the Circle Calculated?

The total space taken up by the Circle on a two-dimensional plane is called the area of the Circle. It could also be thought of as the number of square units required to fill the region inside the Circle. Hence the measurement will be in square units.

The area of the circle is calculated using the following formula.

Area (A)=π×r2\text{Area (A)} = \pi\times r^2

Where,

r = Radius of the Circle

Examples

Let’s say there’s a circle with a radius of 7 cm. What is the area of the circle?

The area of the circle can be calculated using the following formula

Area (A)=π×r2=153.93  cm2≈154  cm2\begin{aligned} \text{Area (A)} &= \pi\times r^2\\[10pt] &= 153.93 \; cm^2\\[10pt] &\approx 154 \; cm^2 \end{aligned}

As shown above, in the calculation, the area of the circle is around 154 square centimeters.

Author

hexacalculator design team

Our team blends expertise in mathematics, finance, engineering, physics, and statistics to create advanced, user-friendly calculators. We ensure accuracy, robustness, and simplicity, catering to professionals, students, and enthusiasts. Our diverse skills make complex calculations accessible and reliable for all users.

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