Question

Austin is baking a pie in a pan that has a diameter of 8 inches. He wants to cover the top of the pie with a pie crust. What is the area of the crust that will cover the top of the pie?

Answer 1

Area of circular crust is pi*r^2 where r is the radius. Radius is one half diameter so area of crust is pi*(diameter/2)^2 = pi*(8/2)^2 = pi*4^2 = pi*16

Answer 2

The area of the crust that will cover the top of the pie is 50.24 square inches.

What is a circle?

A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.

For the given situation,

The baking pan is in the shape of a circle.

The diameter of a baking pan = 8 inches

So, the radius of a baking pan,r = $\frac{diameter}{2}$

⇒ $r=\frac{8}{2}$

⇒ $r=4$

The area of the crust that will cover the top of the pie is

$A=\pi r^{2}$

we know that the value of π is 3.14.

On substitute the above values,

⇒ $A=(3.14)(4)^{2}$

⇒ $A=(3.14)(16)$

⇒ $A=50.24$

Hence we can conclude that the area of the crust that will cover the top of the pie is 50.24 square inches.

Learn more about circles here

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