A pizzeria will bake and deliver a round pizza with a 20inch

A pizzeria will bake and deliver a round pizza with a 20-inch diameter. Find the exact area of the top of the pizza and an approximation. Use 3.14 as an approximation for pi. The exact area is (Simplify your answer. Type an exact answer in terms of x.) The approximate area is (Type a whole number or decimal rounded to two decimal places as needed.)

Solution

The pizzas baked by the Pizzeria are round and have a 20 inch diameter. The top of the pizza may be considered to be a circle with 20 inch diameter. Since the radius is half of the diameter, the radius of the circle( pizza top) is 20/2 = 10 inches. Now, we know that the area of a circle with radius r is r². Therefore, the area of the circle( pizza top) is (10)² or 100 sq. inches.

The exact area of the circle( pizza top) is 100 sq. inches.

The approximate area is 100*3.14 = 314 sq. inches ( as = 3.14).