Question

A circle of radius 8 cm is cut into 6 parts

of equal size, as shown in the diagram.
Calculate the area of each part, giving
your answer correct to 2 decimal places.

Answer 1

Answer: To calculate the area of each part of the circle, we need to first find the total area of the circle and then divide it by the number of parts.

The formula for the area of a circle is A = πr², where A is the area, r is the radius, and π is approximately equal to 3.14.

In this case, the radius of the circle is 8 cm, so the area of the circle is A = π * 8² = 3.14 * 64 = 200.96 cm².

Since the circle is divided into 6 parts of equal size, the area of each part is equal to the total area of the circle divided by the number of parts. Therefore, the area of each part is 200.96 cm² / 6 = 33.49 cm².

Rounded to 2 decimal places, the area of each part is 33.49 cm² ≈ 33.50 cm².

Explanation:

Answer 2

To find the area of each part of the circle, we first need to find the total area of the circle. The formula for the area of a circle is A = πr^2, where A is the area, r is the radius, and π (pi) is a constant approximately equal to 3.14. Plugging in the given values, we find that the total area of the circle is:

A = π * 8^2 = 3.14 * 64 = 201.12 cm^2

Since the circle is divided into 6 equal parts, the area of each part is equal to the total area of the circle divided by 6:

Area of each part = 201.12 cm^2 / 6 = 33.52 cm^2

Rounded to 2 decimal places, the area of each part is 33.52 cm^2.