Question

karen ate a 70 degree section of her birthday pie with a diameter of 12 inches what is the are of the section

Answer 1

`22.0 in^2`

Explanation:

First of all, we have to calculate the total area of the pie.

The area of a circle is given by:

`A=\pi r^2`

where r is the radius of the circle.

Here, the diameter of the pie is 12 inches, so the radius is half of this value:

r = 6 in.

So the area of the pie is

`A=\pi (6)^2 = 36 \pi =113.0 in^2`

Now we can solve this problem by using the rule of three.

In fact, we know that the total area of the pie corresponds to an angle of 360 degrees.

So, if we want to find the area corresponding to an angle of 70 degrees, we can write:

`(A')/(70)=(A)/(360)`

And substituting the value of the area A found above, we can find A', the area of the section of the pie:

`A'=A=(70)/(360)=(113.0)(70)/(360)=22.0 in^2`