Question 199048This question is from textbook geometry
: can you please help me solve ((( What is the area of a square inscribed in a circle with radius 6? ))) This question is from textbook geometry
You can put this solution on YOUR website! The inscribed square has a diagonal equal to 2 times the radius ( or the diameter) of the circle and this is 2*6 = 12.
If a square has a diagonal of 12, then you can find the length of its sides by using the Pythagorean theorem: Where c is the diagonal and, for a square, the two sides are equal and a = b, so... Substitute c = 12 (the diameter of the circle). Divide both sides by 2.
The area of the square with sides equal to a is: Substitute sq.units.