Question

Help with the area of circles, please!

Answer 1

http://assets.openstudy.com/updates/attachments/54fe61e8e4b0cf7439462046-evil-cow-8-1425957371832-areaofashadedregion.png

Answer 2

We need to subtract the area of the circle by the area of the square to get the shaded region. So we first find the are of the circle...\[A=\pi r^2\]
Lets input what we know: Reminder that we know the diameter which is 7cm to get radius we divde 7 by 2 which equals 3.5\[A=3.14(3.5^2)\]
Now let simplify

Answer 3

Okay.

Answer 4

So whats the area of the circle?

Answer 5

3.14?

Answer 6

not exactly. Lets simplify the 3.5 squared. \[A=3.14(12.25)\] So 3.5 squared equal 12.25. Now all we need to do is multiply 3.14 and 12.25. What is the total?

Answer 7

38.465?

Answer 8

Correct! Now we know the are of the circle....Now we need to find out the area of the square we know one side is 7cm so what is the area?

Answer 9

49?

Answer 10

Correct again! Now we need to do one final step....we need to subtract the area of the square which is 49 by the area of the circle which is 38.465\[Shaded Region=Area of Square(49)-Area of Circle(38.465)\]

Answer 11

So whats the shaded regions area?

Answer 12

I got 10.54 so D?

Answer 13

Correct! So the are of the shaded region is D! please leave a medal if i was helpful xD

Answer 14

Thank you so much for your help. It was very appreciated. :)

Answer 15

Was happy to help xD if you ever need help in the future just message me or tag me in your question...byeeee

Answer 16

Alright. Thanks. Bye. :)