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

22.92 inches ≤ r ≤ 23.27 inches

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{(1,650)/(3.14)}=22.92\ in`

Finding radius for 1700:

`r=\sqrt{(1,700)/(3.14)}=23.27\ inches`

Therefore, 22.92 inches ≤ r ≤ 23.27 inches.

Answer 2

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

`1650in^(2)<A<1700in^(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{(1650in^(2))/(3.14)}`

`r=22.91 inches`

For
`A=1700in^(2)`:

`1700in^(2)=3.14 r^(2)`

`r=\sqrt{(1700in^(2))/(3.14)}`

`r=23.26 inches`

Therefore the radius could be 22.91 inches or 23.26 inches