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

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.