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Daniel loves pizza, so he decided to enter a pizza eating contest. Each contestant was given a 25inch pizza and the winner was determined by who ate the most! Daniel ate the entire pizza and won! How much pizza did he eat? (Hint 25 is the diameter?

Sagot :

Answer:

490.87 inches²

Step-by-step explanation:

Hi there!

What we're trying to find: the area of the circular-shaped pizza

What we know: the diameter of the pizza (25 inches)

Area of a circle = [tex]\pi r^2[/tex] where r is the radius of a circle

To find the radius, divide the diameter by 2:

25 inches ÷ 2 = 12.5 inches

Plug 12.5 inches into the area equation

[tex]A=\pi r^2\\A=\pi (12.5)^2\\A=\pi (12.5)^2\\A=156.25\pi \\A=156.25\pi \\A=490.87[/tex]

The area of the circle (pizza) is approximately 490.87 inches².

Therefore, Daniel ate 490.87 inches² worth of pizza.

I hope this helps!