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

The length of its radius between 22.9 and 23.26

Explanation:

Formula:-

Area of circle = πr² where r is the radius of circle.

It is given that, a circular disc has an area that measures between 1,650 and 1,700 square inches.

We have to find the range of radius of the circle.

there area two cases,

1). For Area = 1650 inches² find radius

Area = πr²

1650 = 3.14 * r²

r² = 1650/3.14 = 525.477

r =√ 525.477

r = 22.9

2). For Area = 1700 inches² find radius

Area = πr²

1700= 3.14 * r²

r² = 1700/3.14 = 541.401

r = √541.401

r = 23.26

Therefore length of its radius between 22.9 and 23.26

Answer 2

According to this description the area 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 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=22.92inches`

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

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

`r=23.26inches`

Therefore the radius could be 22.91 inches or 23.26 inches