Question

Question #7e901

Answer 1

`2/3`

Explanation:

First you would start by comparing the radius of the larger circle to the radius of the smaller circle.

We will not calculate the area of the shaded area directly since that is way too hard.
Instead we can find the area of the larger circle and subtract the area of the three smaller ones.

Let the radius of the small circles be `r`. And the radius of the larger cirlce will be `3r`. Make sure you see why the radius of the larger circle is not `6r`.

Now we can set up an equation for the calculation:
(area of large circle) - (area of three smaller circles) = shaded region area

And we can then write: `pi(3r)^2-3pir^2=6pir^2`

And we want the fraction of the total we just do `(6pir^2)/(9pir^2)=2/3`