Final answer:
To find the area of a piece of pizza cut with a central angle of θ degrees, you can use the formula A = (θ/360) * π * r², where A is the area and r is the radius. Plug in the values to calculate the area.
Step-by-step explanation:
To find the area of a piece of pizza cut with a central angle of θ degrees, we use the formula:
A = (θ/360) * π * r²,
where A is the area of the piece and r is the radius of the pizza. Given that the diameter of the pizza is 20 inches, the radius is 10 inches. Plugging in the values, the formula becomes:
A = (θ/360) * π * 10².
For example, if the central angle is 45 degrees, the area would be:
A = (45/360) * π * 10² = (1/8) * π * 100 = 12.5π square inches.