Ashley made an pie with a diameter of 25 cm. She cuts the pie into 6 equal slices. What is the area of each pie?

Formula: π*r^2 or π[(d/2)^2]

{π*[(25/2)^2]}/6≈81.77 sq.cm.

A = pi * r^2

A = 3.14 * 12.5^2

A = 490.625 square cm

490.625/6 = _______ sq. cm. for each piece

To find the area of each pie slice, we need to first find the area of the entire pie, and then divide it by the number of slices.

The area of a circle is calculated using the formula: A = πr^2, where A is the area and r is the radius of the circle.

We are given the diameter of the pie, which is 25 cm. The radius is half of the diameter, so the radius of the pie is 25 cm / 2 = 12.5 cm.

Now we can plug the value of the radius into the area formula:

A = π(12.5 cm)^2

Calculating this, we have:

A ≈ 3.14 × (12.5 cm)^2
≈ 3.14 × 156.25 cm^2
≈ 490.87 cm^2

Since Ashley cuts the pie into 6 equal slices, we need to divide the total area of the pie by 6 to find the area of each slice:

Area of each slice ≈ 490.87 cm^2 / 6
≈ 81.81 cm^2

Therefore, the area of each pie slice is approximately 81.81 square centimeters.