Question

Please help me with this asap

Answer 1

Exact answer:
`27\pi`

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
`A=\pi r^2` where
`r=6` since 6 cm is the length of the radius.

So the area of the full circle would have been
`A=\pi \cdot 6^2`.

`A=\pi \cdot 6^2`

Simplifying the 6^2 part gives us:

`A=\pi \cdot 36`

or

`A=36 \pi`

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
`36\pi` we got earlier and multiplying it by 3/4.

This means the answer is
`(3)/(4) \cdot 36\pi`.

3/4 (36)=3(9)=27

So the answer is
`27\pi`

Answer 2

A = 27π cm² or A ≈ 84.823... cm²

Explanation:

From being shown that the missing area is 90 out of 360°, we know that we need to find 75% of the area of the given circle.

Our equation is altered to: A = 0.75πr²

Plug in: A = 0.75π(6)²

Multiply: A = 27π cm²

If you were instructed to multiply pi and round (which is not as probable given that this is RSM), then the answer would be A ≈ 84.823... cm²