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# The circumference of a circle is 60π cm. What is the area of the circle to the nearest whole number?

Find the area of a circle with a circumference measuring 60π cm rounded to the nearest whole number.

by Maivizhi A

**Updated **Mar 05, 2024

## The circumference of a circle is 60π cm. What is the area of the circle to the nearest whole number?

**The area of the circle is approximately 2827 square centimeters.**

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

A = πr^2

Where A is the area and r is the radius of the circle.

Given that the circumference of the circle is 60π cm, you can use the formula for circumference:

C = 2πr

Where C is the circumference and r is the radius.

From the given circumference 60π cm, you can solve for r:

60π = 2πr

Divide both sides by 2π:

r = 60π / 2π = 30

Now that you have the radius (r = 30), you can find the area (A) using the formula for the area of a circle:

A = π × 30^2 A = π × 900 A ≈ 2827

Rounding to the nearest whole number, the area of the circle is approximately 2827 square centimeters.

## Circles and Circumference

A circle is a two-dimensional shape consisting of all points in a plane that are a given distance, called the radius, from a given point, called the center. The circumference of a circle is the distance around its outer edge.

The formula to calculate the circumference of a circle is:

Circumference (C) = 2πr

Where:

- C is the circumference
- π (pi) is a mathematical constant approximately equal to 3.14159 (though in precise calculations, more decimal places are often used)
- r is the radius of the circle

Alternatively, you can also use the diameter (d) of the circle to find the circumference:

C = πd

Where:

- d is the diameter of the circle

These formulas allow you to find the circumference of any circle if you know either the radius or the diameter. It's important to note that π is a constant value and is used in calculations involving circles and spheres.

## The circumference of a circle is 60π cm. What is the area of the circle to the nearest whole number - FAQs

1. What is the formula to find the area of a circle?

The formula to find the area of a circle is A = πr^2, where A represents the area and r represents the radius of the circle.

2. How do you find the radius of a circle when given its circumference?

You can find the radius of a circle when given its circumference by using the formula r = C / (2π), where r represents the radius and C represents the circumference.

3. What is the significance of π in circle calculations?

π (pi) is a mathematical constant approximately equal to 3.14159. It is crucial in circle calculations as it relates the circumference, diameter, and radius of a circle through mathematical formulas.

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