Question

A baker uses a coffee mug with a diameter of 8cm to cut out circular cookies from a big sheet of cookie dough. What is the area A of each cookie? Give your answer in terms of pi.

Answer 1

The forumula for finding area of the circle is $\pi r^2$.

Let's find the radius of the mug:
$r=\frac{d}{2}=\frac{8}{2}=4$

Now, we can to express the area of each cookie in terms of pi:
$Area= \pi *4^2=16\pi$

Answer 2

The area of each cookie is 16π.

The area of the cookie

The area of the mug is defined as the pi times of radius of the mug;

Given information

A baker uses a coffee mug with a diameter of 8cm to cut out circular cookies from a big sheet of cookie dough.

The radius of the mug is given by;

$\rm Radius=\dfrac{diameter}{2}\\\\Radius=\dfrac{8}{2}\\\\Radius=4 \ cm$

The area A of each cookie is;

$\rm Area =\pi r^2\\\\Area = \pi \times (4)^2\\\\Area =\pi \times 16\\\\Area= 16\pi$

Hence, the area of each cookie is 16π.

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