SOLUTION: What is the area, circumferance, and perimeter of a square with a shaded circle inside the sides measure 4cm

Question 418483: What is the area, circumferance, and perimeter of a square with a shaded circle inside the sides measure 4cm
Answer by aaronhunter(3) (Show Source): You can put this solution on YOUR website!
Firstly, please draw yourself a picture, if ones not already provided. Just draw a box with a shaded circle inside.

If a side is measured to 4cm and it says that this shape is a square then the area for the square is 16, since area of a square is represented by s to the power of 2. s = 4, in this particular problem. 4 raised to the the power of 2 = 16.
If a side is measured to 4cm and it says that this shape is a square then the perimeter for the square is 16, since perimeter of a square is represented by s times 4. Note that area and perimeter are NOT the same, but in this case, they are. Try finding the area and perimeter of a square with side length of 5. They will both be different answers.
Circumference is, I bet, where you got lost and confused. But its not that hard. We can find circumference by the equation 2 times PI times the radius or PI times the diameter. It doesn't matter which, its just whichever one is given to you , the radius or diameter, thats they equation to use.
I will show you both anyways, to clear your mind. Lets do the equation with the radius first. We have already 2/3 parts of the equation. We have the 2, in 2 times PI times radius, and we have PI, since PI is always going to be 3.14. But what is the radius. Well, radius is the length of the circle divided by 2. Well we actually do have that, meaning we have 3/3 parts of this equation. The radius is 2. If you were to draw a straight line in your circle, you'd notice its no different than the length of our squares side, which is 4! So 2 times PI times 2 is equal to 12.56. Remember that in the 2 times PI times radius, we must take half of the total length of the circle. Our total length was 4, so our radius is 2.
In the other equation PI times diameter, we simply multiply 3.14 times the length of the circle going across, or 3.14 times 4. And still, do we get 12.56.
Hope this was helpful!
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