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A dart board is designed with a square inside a circle and a square outside a circle. Assign numerical values of 2, 5, and 8 to the three colored regions of the dart board such as regions with smaller areas are assigned higher scores.

2006-12-03 13:07:40 · 5 answers · asked by starluv4ever 1 in Science & Mathematics Mathematics

5 answers

Square inside a circle means ...first you have the circle and inside it is a square.

square outside a circle...this statement referes to the first square. So basically, we have a circle inside that square.

So the inner circle gets 8
The only square gets 5
The outer circle gets 2

2006-12-03 13:18:41 · answer #1 · answered by Mayur 2 · 0 0

Let's give the square a size, say 1 foot on a side.

The area of the square is then 1 square foot.
Now, there is a circle around the square, and we're going to assume that it is the smallest circle that will fit around the square.
What is the radius of the circle? Well, it's the distance from the center of the square to one corner. And what is that? Well, the distance from the center to the middle of a side is 1/2 foot, right? And the distance from the middle of the side to the corner is 1/2 foot also. So we can draw a triangle from the center of the square, to the middle of the side, to the corner and back, and that is a RIGHT triangle, so we know the length of the long side is the square root of the sum of the squares of the 1/2-ft sides.
So, figure this out and call it "y".
Then, figure out the area of the circle with radius "y".
The "colored" region OUTSIDE the square and INSIDE the circle has an area equal to the area of the circle MINUS the area of the inside square.
Finally, you need one more area and this one is easy. The outside square has an area that is the square of the length of the side. A side is the same as the diameter of the circle, which is twice the radius. Once you figure this out, subtract the are of the circle.

Now you have three areas:
1) the area of the inside square
2) the area of the circle - the area of the inside square
3) the area of the outside square - the area of the circle

Give the largest number a value of 2, because it's easiest.
etc.

2006-12-03 21:20:17 · answer #2 · answered by firefly 6 · 0 0

Yep, I'm confused too. It sounds like you are describing a circle with a square inside it and a second square outside it. For there to be three regions, none of the shapes can be touching each other.

However, you still need to know the size of the circle and the two squares to determine which areas are biggest. Maybe you have a diagram with this information, in which case calculate the areas.

2006-12-03 21:21:50 · answer #3 · answered by Anonymous · 0 0

You're right, that is pretty confusing :(

2006-12-03 21:17:04 · answer #4 · answered by will l 2 · 0 0

that is very confusing

2006-12-03 21:20:25 · answer #5 · answered by heather_766 2 · 0 0

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