Question

Please help me with this asap

Answer 1

Answer:

A = 27π cm² or A ≈ 84.823... cm²

Step-by-step 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

Answer 2

Answer:

Exact answer: $27\pi$

Answer rounded to nearest hundredths: 84.82 using the pi button and not 3.14.

Step-by-step 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 $\frac{3}{4} \cdot 36\pi$.

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

So the answer is $27\pi$