Question

The circumference of a circular lot is 172 yards. What is the diameter of the lot?

Round your answer to the nearest hundredth. If necessary, refer to the list of geometry formulas.

Answer 1

To find the diameter of the lot, divide the circumference by 2 * pi and then double the radius. The diameter of the lot is approximately 54.78 yards.

Step-by-step explanation:

To find the diameter of the lot, we can use the formula for the circumference of a circle:

Circumference = 2 * pi * radius

We know that the circumference is 172 yards, so we can set up the equation:

172 = 2 * pi * radius

Dividing both sides by 2 * pi, we get:

radius = 172 / (2 * pi)

Using a calculator, we find that the radius is approximately 27.39 yards. The diameter of the lot is twice the radius, so:

diameter = 2 * radius = 2 * 27.39 yards = 54.78 yards

Therefore, the diameter of the lot is approximately 54.78 yards.

Learn more about Finding the diameter of a circular lot