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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!