SOLUTION: an inscribed rectangle has an area of 32. length side = 2x and width side = x. diameter unknown. the rectangle is inside a circle. find the circumference of the circle. Please sho

Algebra ->  Circles -> SOLUTION: an inscribed rectangle has an area of 32. length side = 2x and width side = x. diameter unknown. the rectangle is inside a circle. find the circumference of the circle. Please sho      Log On


   



Question 982718: an inscribed rectangle has an area of 32. length side = 2x and width side = x. diameter unknown. the rectangle is inside a circle. find the circumference of the circle. Please show all steps and explain. thanks.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If the rectangle is inscribed in a circle, a diagonal of the rectangle is a diameter. So if the sides are and , then the diagonal is , so the circumference, being , is

However, since the sides are and and the area is 32,



So substitute into and the circumference is:



John

My calculator said it, I believe it, that settles it