Bot a city planner is building a circular garden. She wants the circumference of the garden to be between 78.5 feet and 125.7 feet. What is a possible length, in feet, of the radius of the garden? Round your answer to the nearest tenth.
To find the possible length of the radius, we need to find the range of the circumference. The formula to calculate the circumference of a circle is given by:
Circumference = 2πr
where r is the radius of the circle.
We can set up an inequality using the given range of the circumference:
78.5 ≤ 2πr ≤ 125.7
Dividing both sides of the inequality by 2π:
78.5/(2π) ≤ r ≤ 125.7/(2π)
Simplifying:
12.5 ≤ r ≤ 19.9
Therefore, a possible length for the radius of the circular garden is between 12.5 and 19.9 feet. Rounding to the nearest tenth, the possible length of the radius is between 12.5 and 19.9 feet.