Question

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 1

Answer:

According to this description the area $A$ of the disc is:

$1650in^{2}$

On the other hand, the area of a circumference is given by the following equation:

$A=\pi r^{2}$   (1)

Where $r$ is the radius.

If we want to know the possible lengths of $r$ for the circular disc, we will have to apply equation (1) for both areas:

For $A=1650in^{2}$:

$1650in^{2}=3.14 r^{2}$  

$r=\sqrt{\frac{1650in^{2}}{3.14}}$  

$r=22.91 inches$  

For $A=1700in^{2}$:

$1700in^{2}=3.14 r^{2}$  

$r=\sqrt{\frac{1700in^{2}}{3.14}}$  

$r=23.26 inches$  

Therefore the radius could be 22.91 inches or 23.26 inches

Answer 2

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 $\pi r^2$.

Finding radius for 1650:

$r=\sqrt{\frac{1,650}{3.14}}=22.92\ in$

Finding radius for 1700:

$r=\sqrt{\frac{1,700}{3.14}}=23.27\ inches$

Therefore, 22.92 inches ≤ r ≤ 23.27 inches.