A circular disc has an area that measures between 1,650 and 1,700 square inches. What could be the length of its radius? Use 3.14 for pie

Answer:According to this description the area [tex]A[/tex] of the disc is:[tex]1650in^{2}<A<1700in^{2}[/tex]On the other hand, the area of a circumference is given by the following equation:[tex]A=\pi r^{2}[/tex]   (1)Where [tex]r[/tex] is the radius.If we want to know the possible lengths of [tex]r[/tex] for the circular disc, we will have to apply equation (1) for both areas:For [tex]A=1650in^{2}[/tex]:[tex]1650in^{2}=3.14 r^{2}[/tex]  [tex]r=\sqrt{\frac{1650in^{2}}{3.14}}[/tex]  [tex]r=22.91 inches[/tex]  For [tex]A=1700in^{2}[/tex]:[tex]1700in^{2}=3.14 r^{2}[/tex]  [tex]r=\sqrt{\frac{1700in^{2}}{3.14}}[/tex]  [tex]r=23.26 inches[/tex]  Therefore the radius could be 22.91 inches or 23.26 inches