How do you draw and lable a circle that has an area between 5 and 8 square units?
To draw and label a circle with an area between 5 and 8 square units, you will need to follow these steps:
1. Start by determining the radius of the circle. The formula to calculate the area of a circle is A = πr², where "A" represents the area and "r" represents the radius.
2. To find the lower bound of the area, calculate the radius using the formula A = πr² = 5. Rearrange the formula to solve for "r" as follows: r = √(5/π).
3. Next, find the upper bound of the area by calculating the radius using the formula A = πr² = 8. Rearrange the formula as r = √(8/π).
4. Once you have the lower and upper bounds for the radius, draw a line segment on a piece of paper or a drawing software using a ruler or a circle-drawing tool. Make the length of the line segment equivalent to the lower bound radius value you calculated.
5. Place the sharp tip of a compass on one end of the line segment and adjust the other end of the compass to the length of the upper bound radius value you calculated.
6. While keeping the sharp tip of the compass in place, rotate the compass in a full circle to create the outline of the circle.
7. Label the circle with the lower and upper bound radius values you calculated in step 2 and step 3.
By following these steps, you can draw and label a circle with an area between 5 and 8 square units.