Question

SIXTH GRADE MATH HELP
MEDAL + FAN PLZ HELP!

The diagram shows a square of side 3 in. containing a circle of diameter 3 in. To the nearest hundredth, what is the area of the shaded part of the figure?

Answer 1

So, you want to find the perimeter of the circle and minus it from the square.

Answer 2

Then you would divide by 4.

Answer 3

Ok..

Answer 4

So 3 square inches - (3/4)pi is the shaded area.

Answer 5

Ok then what do I do?

Answer 6

So, find the area of the circle first.

\[A = \frac{ 1 }{ 4 }\pi d^2\]\[A = \frac{ 1 }{ 4 }\pi 3^2\]\[A = \frac{ 1 }{ 4}\pi 9\]

Now, solve for your area. (pi = 3.14)

\[\frac{ 1 }{ 4 }3.14\times9 = 7.065\]▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Now that we've found the area of the circle, we need to find the area of the square. The formula for a square's area is: \[A = a^2\]

Now, just find the area of the square and subtract it from the circle's area to get your answer.

Answer 7

Ok so 1 sec..

Answer 8

Wait I dont get how to get the area of the square?

Answer 9

Is it just 9?

Answer 10

Correct! The area of a square is equal to the side of that square to the second power. For example:

Answer 11

So now we have the area of the circle, 7.06, and the area of the square, 9. What would our next step be?

Answer 12

Subtracting?

Answer 13

Correct.

9 - 7.06

Answer 14

1.94

Answer 15

Correct. Now, look at this.

Subtract the circle is going to give us the area of all the shaded regions. There is one more step. Do you know what it is?