A 16 inch (in diameter) pizza is cut into various sizes What is the area of a piece that was cut with a central angle of 40^{circ}.

To find the area of a piece of pizza, we need to know the formula for the area of a sector of a circle. The formula is: {eq}A = \frac{theta}{360^circ}pi r^2 {/eq} where A is the area of the sector, {eq}theta {/eq} is the central angle of the sector (in degrees), and r is the radius of the circle. Since the pizza has a diameter of 16 inches, its radius is 8 inches. The central angle of the piece that was cut is {eq}theta = 40^circ {/eq}. Substituting these values into the formula, we get: {eq}A = \frac{40^circ}{360^circ}pi (8\text{ in.})^2 \approx 20.95 \text{ in.}^2 {/eq} So the area of the pizza slice is \approx imately 20.95 square inches.