Respuesta :
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
Answer:
22.92 inches ≤ r ≤ 23.27 inches
Step-by-step explanation:
We are given that the area of a circular disk has an area measuring between 1650 and 1700 square inches and we are to find the possible length of the its radius.
We know that the area of a circle is equal is given by [tex]\pi r^2[/tex].
Finding radius for 1650:
[tex]r=\sqrt{\frac{1,650}{3.14}}=22.92\ in[/tex]
Finding radius for 1700:
[tex]r=\sqrt{\frac{1,700}{3.14}}=23.27\ inches[/tex]
Therefore, 22.92 inches ≤ r ≤ 23.27 inches.