When a marathon runner completes 3 round around a circular track he covers a distance of 66 km.find the radius of track.
To find the radius of the track, we need to use the formula for the circumference of a circle.
The formula for the circumference of a circle is C = 2πr, where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.
We are given that the marathon runner completes 3 rounds around the circular track, which covers a distance of 66 km. We need to find the radius of the track.
Using the formula for the circumference of a circle, we can set up the equation:
3 * 2πr = 66
Now, we can solve for r.
First, simplify the equation:
6πr = 66
Next, divide both sides of the equation by 6π:
r = 66 / (6π)
Simplifying further, we get:
r ≈ 66 / 18.85
r ≈ 3.5 km
Therefore, the radius of the circular track is approximately 3.5 kilometers.
I neee the ans
3 C = 3(2 pi r) = 66*10^3 meters
so
r = (11/pi)10^3 meters