Answer:
Exact answer:

Answer rounded to nearest hundredths: 84.82 using the pi button and not 3.14.
Explanation:
Let's pretend for a second the whole circle is there.
The area of the circle would be
where
since 6 cm is the length of the radius.
So the area of the full circle would have been
.

Simplifying the 6^2 part gives us:

or

Now you actually have one-fourth (because of the 90 degree angle located at the central angle) of the circle missing so our answer is three-fourths of what we got from finding the area of the full circle.
So finding three-fourths of our answer means taking the
we got earlier and multiplying it by 3/4.
This means the answer is
.
3/4 (36)=3(9)=27
So the answer is
