GED Math : Area of a Quadrilateral
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Example Questions
Example Question #385 : Geometry And Graphs
A square and a circle share a center as shown by the figure below.
If the length of a side of the square is 
In order to find the area of the shaded region, we will need to find the area of the circle then subtract the area of the square from it.
Start by finding the area of the square. Since we know the side length of the square, we can write the following:
Next, we find the area of the circle. Since the question states that the length of a side of the square is half the radius of the circle, the radius of the circle must be 
Now, subtract these two values to find the area of the shaded region.
Example Question #386 : Geometry And Graphs
If the area of square is 
Figuring out the perimeter of a square from this information is luckily pretty easy. Since the sides of a square are all the same size, you know also that 
Taking the square root of both sides, you get:
Now, the perimeter of the square is just 
Example Question #387 : Geometry And Graphs
If the perimeter of a square is 
Since the four sides of a square are equal, you know that the perimeter of a square is defined as:
For our data, this is:
Solving for 
Now, the area of a square is just:
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