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# The diameter of a circle is 33 cm. Find its area to the nearest whole number.

Calculate the precise area of a circle given its diameter of 33 cm, rounded to the nearest whole number.

by Maivizhi A

**Updated **Mar 05, 2024

## The diameter of a circle is 33 cm. Find its area to the nearest whole number.

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

A = π * r^2

Where A is the area and r is the radius of the circle. Since you're given the diameter, you need to first find the radius, which is half of the diameter.

Given the diameter is 33 cm, the radius (r) would be half of that:

r = 33 / 2 = 16.5 cm

Now, you can substitute this radius into the formula to find the area:

A = π * (16.5)^2

A = π * 272.25

Now, you can use an approximation for π. A commonly used approximation is π ≈ 3.14:

A ≈ 3.14 * 272.25

A ≈ 855.915 cm^2

Rounded to the nearest whole number, the area is 856 cm^2.

## Circumference and Area of a Circle

The circumference C of a circle is given by the formula:

C = 2 * π * r

Where r is the radius of the circle and π is a mathematical constant approximately equal to 3.14159.

The area A of a circle is given by the formula:

A = π * r^2

Again, r is the radius of the circle and π is the mathematical constant.

So, if you know the radius of a circle, you can easily calculate its circumference and area using these formulas. If you have the diameter d of the circle instead of the radius, you can use the relationship d = 2r to find the radius and then use the formulas above.

## The diameter of a circle is 33 cm. Find its area 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 = π * r^2, where A represents the area and r is the radius of the circle.

2. How do you find the radius of a circle if the diameter is given?

To find the radius of a circle when given the diameter, simply divide the diameter by 2.

3. What is the radius if the diameter of a circle is 33 cm?

If the diameter of a circle is 33 cm, the radius would be half of that, which is 16.5 cm.

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