Question

a culinary student decorates a 8-in. -diameter round cake. What is the approximate are of the top of the cake?

Answer 1

≈50.265
`in^(2)`

Explanation:

You first have to find the radius since the formula for the area of a circle is A=
`\pi r^(2)`.

Since the radius is half the diameter, just divide 8 by 2 which will give you 4.

r=4

Now plug in the radius into the formula and simplify.

A=
`\pi 4^(2)`

`A=\pi 16`

≈50.265
`in^(2)`

Answer 2

The top of the cake is 25.12 in²

Explanation:

Hello!

So you are dealing with a circumference question! And because the diameter is 2x the radius, we know the radius is actually 4.

Lets write out the circumference formula and use that to help us.

c = 2
`\\\pi` x r

pi is 3.14....

But lets use 3.14

c = 2(3.14) x 4

Plus this into a calculator and we get 25.12 as the answer.