A chord is drawn in a circle with a length of 36П, contracting an arc of 60 degrees. Find the chord length.

In order to solve this problem, you need to find the length of the chord.

1) If the arc is 60 °, then the central angle is also 60 °.

2) Since the radii are equal, this is an isosceles triangle and the remaining 2 angles are equal: (180 – 60) / 2 = 60 °.

3) it turns out that the triangle is equilateral and the chord is equal to the radius: 36П / 2П = 18.

We get the following answer: 18.