In a circle 60 pi long, a chord is drawn that contracts an arc of 120 degrees, the length of the given arc and chord is calculated.

Let’s write the formula for the circumference:
L = 2pi * r

Find the radius from the formula for the circumference.
L = 2pi * r
r = L / 2pi
r = 60pi / 2pi
r = 30

Although I cannot give a drawing here, I need to complete a chord at this circle, which will lie opposite an angle of 120 °. As a result, we get a triangle, whose sides will be equal to the radius (since it is inscribed in a circle) and by the cosine theorem we can find this:
d = r ^ 2 + r ^ 2 – 2r ^ 2 * cos120 °
d = 30 ^ 2 + 30 ^ 2 – 2 * 30 ^ 2 * 1/2
d = 2700

360 ° is the entire circumference. In this case, the arc length in N degrees will be:
l = 2pi * r * N / 360 °

Now we substitute an angle of 120 ° and calculate:
l = 2pi * r / 360 ° * 120 ° = 2pi * 30 * 120 ° / 360
l = 20pi

Answer:
Radius r = 30
Chord length d = 2700
Arc length l = 20pi