# SOLUTION: what is the area of an inscribed square whose radius is 8 inches?

Algebra ->  Algebra  -> Surface-area -> SOLUTION: what is the area of an inscribed square whose radius is 8 inches?      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Geometry: Area and Surface Area Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Surface-area Question 203382: what is the area of an inscribed square whose radius is 8 inches?Answer by jsmallt9(3296)   (Show Source): You can put this solution on YOUR website!Better wording would be: What is the area of a square inscribed in a circle whose radius is 8 inches? If this is your problem then , the picture looks like: Since the area of a square is the square (hence the term) of the side, we need to find the side of the square. As I hope you can see, finding the leg of the right triangle will help us find the side of the square. In all 45-45-90 triangles the ratio of the hypotenuse to a leg is . In the 45-45-90 right triangle shown, the hypotenuse is 8. Substituting this into the ratio we can find the leg (using x for leg because "l" can be confused with "1"): Multiplying both sides by x Divide both sides by sqrt(2): Now the leg, x, is 1/2 of the side of the square, s. So the side of the square is twice as much: square inches.