David has a circular pizza with a diameter of of 16 inches. He wants to sprinkle 1/5 of pizza with extra cheese. What is the area of the pizza covered with extra cheese?
To find the area of the pizza covered with extra cheese, we first need to calculate the total area of the pizza.
Given that the diameter of the pizza is 16 inches, the radius (r) of the pizza is half of the diameter, which is 8 inches.
The formula for the area of a circle is A = πr^2. Substituting the radius into the formula, we have:
A = π(8)^2
A = π(64)
A = 64π
Therefore, the total area of the pizza is 64π square inches.
Now, David wants to sprinkle 1/5 of the pizza with extra cheese. To find the area covered with extra cheese, we need to find 1/5 of the total area:
Area covered with extra cheese = (1/5) * 64π
Area covered with extra cheese = 64π / 5
Area covered with extra cheese = 12.8π square inches
Therefore, the area of the pizza covered with extra cheese is 12.8π square inches.