A merry-go-round has a circumference of 15 feet. What is the radius of the merry-go-round to the nearest tenth of a foot?
radius= 15/(2PI)
To find the radius of the merry-go-round, we can use the formula for the circumference of a circle: C = 2πr, where C is the circumference and r is the radius.
In this case, we are given the circumference (C) of the merry-go-round, which is 15 feet. We can rearrange the formula to solve for the radius (r):
C = 2πr
15 = 2πr
To find the radius, we need to isolate it on one side of the equation. We can divide both sides of the equation by 2π:
15 / (2π) = (2πr) / (2π)
15 / (2π) = r
Now we can calculate the radius:
r ≈ 15 / (2π)
Using a calculator, we can find the approximate value for π.
π ≈ 3.14159
Plugging this value into the equation:
r ≈ 15 / (2 × 3.14159)
r ≈ 15 / 6.28318
r ≈ 2.388
Therefore, the radius of the merry-go-round is approximately 2.4 feet (rounded to the nearest tenth of a foot).