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Example Questions
Example Question #1 : How To Find The Length Of The Side Of A Square
The circle inscribed inside Square has circumference 16. To the nearest tenth, evaluate .
The diameter of a circle that is inscribed inside a square is equal to its sidelength , so all we need to do is find the diameter of the circle - which is circumference 16 divided by :
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Example Question #1 : How To Find The Length Of The Side Of A Square
Refer to the above figure, which shows equilateral triangle inside Square . Also, .
Quadrilateral has area 100. Which of these choices comes closest to ?
Let , the sidelength shared by the square and the equilateral triangle.
The area of is
The area of Square is .
By symmetry, bisects the portion of the square not in the triangle, so the area of Quadrilateral is half the difference of those of the square and the triangle. Since the area of Quadrilateral is 100, we can set up an equation:
Of the five choices, 20 comes closest.
Example Question #171 : Quadrilaterals
Find the length of the side of a square given its area is .
To find side length, simply take the square root of the volume. Thus,
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