Area of a Circle Calculator

Radius: Unit:

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)
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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:

where (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:

$Area = π \times {(\frac{Diameter}{2})}^{2}$

Given a 10-inch diameter circle, the radius ( $\frac{Diameter}{2}$ ) would be $\frac{10}{2} = 5$ inches.

Now, substitute this radius into the formula:

$Area = π \times (5)^{2}$

$Area = π \times 25$

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

$Area = π \times {(\frac{Diameter}{2})}^{2}$

Given a 20-inch diameter circle, the radius ( $\frac{Diameter}{2}$ ) would be $\frac{20}{2} = 10$ inches.

Now, substitute this radius into the formula:

$Area = π \times (10)^{2}$

$Area = π \times 100$

So, the area of a circle with a 20-inch diameter is 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 () of a circle is given by:

$A = π r^{2}$

where:

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

Alternatively, you can use the diameter () of the circle to find the area using the formula:

$A = π {(\frac{D}{2})}^{2}$

Here, 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 () of a circle using its radius () is given by:

$C = 2 π r$

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 .

1 diameter circle area

If you have a circle with a diameter of 1 unit, the radius () would be half of the diameter, so $r = \frac{1}{2}$

The formula for the area () of a circle is:

$A = π r^{2}$

Substitute the radius into the formula:

$A = π {(\frac{1}{2})}^{2}$

$A = π \times \frac{1}{4}$

So, the area of a circle with a diameter of 1 unit is $\frac{π}{4}$ 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:

$A = \frac{C^{2}}{4 π}$

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 into the formula:

$A = \frac{1 0^{2}}{4 π}$

$A = \frac{100}{4 π}$

So, the area of a circle with a circumference of 10 inches is $\frac{100}{4 π}$ square inches.

12 inch diameter circle area

If you have a circle with a diameter of 12 inches, the radius () would be half of the diameter, so $r = \frac{12}{2} =$ inches.

The formula for the area () of a circle is:

$A = {π r}^{2}$

Substitute the radius into the formula:

$A = π \times 6^{2}$

$A = π \times 36$

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

14 inch diameter circle area

If you have a circle with a diameter of 14 inches, the radius () would be half of the diameter, so $r = \frac{14}{2} =$ inches.

The formula for the area () of a circle is:

$A = π r^{2}$

Substitute the radius into the formula:

$A = π \times 7^{2}$

$A = π \times 49$

So, the area of a circle with a 14-inch diameter is $49 π$ square inches. If you want a numerical approximation, you can use $π \approx 3.14$ 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 () of a circle:

$A = {π r}^{2}$

Substitute the radius into the formula:

$A = π \times 1 4^{2}$

$A = π \times 196$

So, the area of a circle with a radius of 14 inches is square inches. If you want a numerical approximation, you can use $π \approx 3.14$ to find the approximate area.

15cm diameter circle area

If you have a circle with a diameter of 15 centimeters, the radius () would be half of the diameter, so $r$ $= \frac{15}{2}$ centimeters.

The formula for the area () of a circle is:

$A = π r^{2}$

Substitute the radius into the formula:

$A = π \times (7.5)^{2}$

$A = π \times 56.25$

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

16 inch diameter circle area

If you have a circle with a diameter of 16 inches, the radius () would be half of the diameter, so $r = \frac{16}{2}$ inches.

The formula for the area () of a circle is:

$A = π r^{2}$

Substitute the radius into the formula:

$A = π \times 8^{2}$

$A = π \times 64$

So, the area of a circle with a 16-inch diameter is square inches. If you want a numerical approximation, you can use $π \approx 3.14$ to find the approximate area.