# Area of a Circle Calculator

**Created by Team y2calculate**- Content written by Jane (Ph.D.)
- Coding and design by Marcelino (Ms computer science)
- Reviewed by Junaid khan (M.Phil) and Jay (BSc)
- Fact checked 🔍✓

#### Table of Contents

## Calculating area of a circle

Introducing our SEO-optimized Area of a Circle Calculator! Uncover the simplicity of determining the precise area enclosed by a circle effortlessly. Our user-friendly tool allows you to calculate the area with ease, providing accurate results based on the radius you input. Whether you’re a student, professional, or enthusiast, our calculator ensures swift and efficient solutions. Explore the power of geometry at your fingertips, enhancing your mathematical prowess with our purposefully designed Area of a Circle Calculator. Discover a seamless online experience tailored for precision, reliability, and speed. Try it now for a hassle-free journey into the world of circle calculations!

## what is area of a circle?

The area of a circle is calculated using the formula:

$\text{}$Area=π$r{2}^{}$

where

$$π (pi) is a mathematical constant approximately equal to 3.14159, and $$ is the radius of the circle. The formula represents the space enclosed by the circle in square units.## 10 inch diameter circle area

To calculate the area of a circle, you can use the formula:

$\text{Area}=\pi \times {\left(\frac{\text{Diameter}}{2}\right)}^{2}$

Given a 10-inch diameter circle, the radius (

$\frac{\text{Diameter}}{2}$) would be $\frac{10}{2}=5$ inches.Now, substitute this radius into the formula:

$\text{Area}=\pi \times (5{)}^{2}$

$\text{Area}=\pi \times 25$

So, the area of a circle with a 10-inch diameter is $25π$ square inches. If you want a numerical approximation, you can use

$$π≈3.14 to find the approximate area.## 20 inch diameter circle area

To calculate the area of a circle with a diameter of 20 inches, you can use the formula:

$\text{Area}=\pi \times {\left(\frac{\text{Diameter}}{2}\right)}^{2}$

Given a 20-inch diameter circle, the radius (

$\frac{\text{Diameter}}{2}$) would be $\frac{20}{2}=10$ inches.Now, substitute this radius into the formula:

$\text{Area}=\pi \times (10{)}^{2}$

$\text{Area}=\pi \times 100$

So, the area of a circle with a 20-inch diameter is

$\mathrm{}$100π square inches. If you want a numerical approximation, you can use $$ to find the approximate area.## formula for finding the area of a circle

The formula for finding the area (

$$A) of a circle is given by:$A=\mathrm{\pi r}{2}^{}$

where:

- $$ (pi) is a mathematical constant approximately equal to 3.14159.
- $$ is the radius of the circle.

Alternatively, you can use the diameter (

$$D) of the circle to find the area using the formula:$A=\mathrm{\pi {\left(\frac{D}{2}\right)}^{2}}$

Here,

$$D is the diameter of the circle, and $\frac{D}{2}$ is the radius.## formula for circumference of a circle using radius

The formula for finding the circumference (

$$C) of a circle using its radius ($$) is given by:$C=2πr$

where:

- $$ (pi) is a mathematical constant approximately equal to 3.14159.
- $$ is the radius of the circle.

So, to calculate the circumference of a circle, you simply multiply the radius by 2 and then multiply the result by

$$π.## 1 diameter circle area

If you have a circle with a diameter of 1 unit, the radius (

$$r) would be half of the diameter, so $r=\frac{1}{2}$The formula for the area (

$$A) of a circle is:$A=\mathrm{\pi r}{2}^{}$

Substitute the radius into the formula:

$A=\pi {\left(\frac{1}{2}\right)}^{2}$

$A=\pi \times \frac{1}{4}$

So, the area of a circle with a diameter of 1 unit is

$\frac{\pi}{4}$ square units. If you want a numerical approximation, you can use $$ to find the approximate area.## 10 inch circle area

To find the area of a circle when you know the circumference, you can use the following formula:

$A=\frac{{C}^{2}}{4\pi}$

where:

- $$ is the area of the circle,
- $$ is the circumference of the circle, and
- $$ is a mathematical constant approximately equal to 3.14159.

If you have a circle with a circumference of 10 inches, you can substitute

$$C=10 into the formula:$A=\frac{1{0}^{2}}{4\pi}$

$A=\frac{100}{4\pi}$

So, the area of a circle with a circumference of 10 inches is

$\frac{100}{4\pi}$ square inches.## 12 inch diameter circle area

If you have a circle with a diameter of 12 inches, the radius (

$$r) would be half of the diameter, so $r=\frac{12}{2}=$ inches.The formula for the area (

$$A) of a circle is:$A={\mathrm{\pi r}}^{2}$

Substitute the radius into the formula:

$A=\pi \times {6}^{2}$

$A=\pi \times 36$

So, the area of a circle with a 12-inch diameter is $36π$ square inches. If you want a numerical approximation, you can use $π≈3.14$ to find the approximate area.

## 14 inch diameter circle area

If you have a circle with a diameter of 14 inches, the radius (

$$r) would be half of the diameter, so $r=\frac{14}{2}=$ inches.The formula for the area (

$$A) of a circle is:$A=\mathrm{\pi r}{2}^{}$

Substitute the radius into the formula:

$A=\pi \times {7}^{2}$

$A=\pi \times 49$

So, the area of a circle with a 14-inch diameter is $49π$ square inches. If you want a numerical approximation, you can use $π≈3.14$to find the approximate area.

## 14 inch radius of a circle area

If you have a circle with a radius of 14 inches, you can use the formula for the area (

$$A) of a circle:$A={\mathrm{\pi r}}^{2}$

Substitute the radius into the formula:

$A=\pi \times 1{4}^{2}$

$A=\pi \times 196$

So, the area of a circle with a radius of 14 inches is

$\mathrm{}$196π square inches. If you want a numerical approximation, you can use $π≈3.14$ to find the approximate area.## 15cm diameter circle area

If you have a circle with a diameter of 15 centimeters, the radius (

$$r) would be half of the diameter, so$r$$=\frac{15}{2}$ centimeters.The formula for the area (

$$A) of a circle is:$A=\mathrm{\pi r}{2}^{}$

Substitute the radius into the formula:

$A=\pi \times (7.5{)}^{2}$

$A=\pi \times 56.25$

So, the area of a circle with a 15-centimeter diameter is $56.25π$ square centimeters. If you want a numerical approximation, you can use

$$π≈3.14 to find the approximate area.## 16 inch diameter circle area

If you have a circle with a diameter of 16 inches, the radius (

$$r) would be half of the diameter, so $r=\frac{16}{2}$ inches.The formula for the area (

$$A) of a circle is:$A=\mathrm{\pi r}{2}^{}$

Substitute the radius into the formula:

$A=\pi \times {8}^{2}$

$A=\pi \times 64$

So, the area of a circle with a 16-inch diameter is

$\mathrm{}$64π square inches. If you want a numerical approximation, you can use $π≈3.14$ to find the approximate area.
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