A baker uses a coffee mug with a diameter of 8 cm8/text{ cm}8 cm8, start text, space, c, m, end text to cut out circular cookies from a big sheet of cookie dough. What is the area of each cookie?

50.24 cm²

Step-by-step explanation:

The area of a circle 'A' is defined as pi times the radius 'r' squared

A = π r²

We have given, diameter = 8cm

So,

r = d/2 = > 8/2 = > 4cm

Next is to find area of cookie, therefore,

A = π 4²

A = 16 π

A = 50.24 cm²

Answer: the area of each cookie is 50.24 cm²

16 pi cm^2 or 50.27 cm^2

Step-by-step explanation:

In this question, we are told that by using a particular mug of coffee with a certain diameter, a baker was able to circular cookies from a big sheet of cookie dough so we need to know the area of each of the cookie.

Now this is pretty much straightforward. since we do know the diameter of the mug, finding the area of the cookie is simple!

How do we do this?

what to do simply is to apply the formula of a circle to find the area of a circle of diameter 8cm

mathematically, the area of a circle A = pi * r^2

Since we are given D in the question, we know quite well that we need r from the equation. Mathematically, d = 2r or more specifically r = d/2 = 8/2 = 4cm

now let's find the area of a circle of radius 4cm

A = pi * 4^2 = 16 pi cm^2 or simply 50.27 cm^2