Jamila wants to walk with her friend at the park but isn’t sure how long the course is. She knows it is a circular path with a walkway through the middle, and the path across the middle is 12 of a mile. What is the distance all the way around the circle? Give the answer to the nearest tenth of a mile.

1 answer

The distance around the circle would be equal to the circumference of the circle, which can be calculated using the formula:

Circumference = 2 x π x radius

Since the path across the middle is 1/2 a mile (or 0.5 miles), this would be the diameter of the circle. To find the radius, we divide the diameter by 2:

radius = 0.5 / 2 = 0.25 miles

Now, we can calculate the circumference using π ≈ 3.14:

Circumference = 2 x 3.14 x 0.25 ≈ 1.57 miles

Therefore, the distance all the way around the circle is approximately 1.6 miles.