What expression represents the area of the square inscribed inside a circle with radius r?
senseigreen Teacher Middle School DRAW YOUR PICTURE with inscribed square and have scissors handy! Draw diagonals which will cross at the circle’s centerpoint and label each line to the corners with r. The square INSIDE the circle makes the DIAGONAL of that square the length of 2r. Cut the OTHER diagonal and you will have 4 triangles with two sides of r length. The third and longest side will be the chord (line segment where corners touch the the sides of the circle) and if you paste quickly enough you can ignore its length 🙂 Rearranging the four triangles, so that the chords become the adjoining sides you can make these four triangles into two squares of area r^2. THEN, You can SEE the two squares so: Area of inscribed square is 2r^2. Once they let me cut loose in geometry, I became MUCH better! Rate answer: $(‘#ascore-323486’).istars(setAnswerRating); Flag as inappropriate Posted by senseigreen on Thursday March 3, 2011 at 4:59 PM justaguide Teacher College – Senior Editor Emeritus
