Question

Drag each tile to the correct box. place the circles in order from the circle with the smallest area to the circle with the largest area. Circle with an area of 1,040.09 square unitsCircle with a radius of 27 unitsCircle with a circumference of 87.92 unitsCircle with a diameter of 19 units.

Answer 1

To order the circles, we find the area for each one:

`\begin{gathered} \text{Circle with a radius of 27 units} \\ \text{Area}=\pi r^2 \\ =\pi*27^2 \\ =2290.22\text{ square units} \end{gathered}`
`\begin{gathered} \text{Circle with a circumference of 87.92 units} \\ 2\pi r=87.92 \\ r=(87.92)/(2\pi) \\ r=13.99\text{ units} \\ \text{Area}=\pi*13.99^2 \\ =614.87\text{ square units} \end{gathered}`
`\begin{gathered} \text{Circle with a diameter of 19 units.} \\ \text{Radius}=19/2=9.5\text{ units} \\ \text{Area}=\pi*9.5^2 \\ =283.53\text{ square units} \end{gathered}`

Thus, the circles in order with the smallest area to the circle with the largest area are:

• 283.53 square units: Circle with a diameter of 19 units.

,

• 614.87 square units: Circle with a circumference of 87.92 units

,

• Circle with an area of 1,040.09 square units

,

• 2290.22 square units: Circle with a radius of 27 units