The chord length of a circle is 64, and the distance from the center of the circle to this chord is 24.

The chord length of a circle is 64, and the distance from the center of the circle to this chord is 24. Find the diameter of the circle.

Through the conditional variable “Y” we denote the radius of the circle.

Then, using the data of the example and on the basis of the Pythagorean theorem, we will compose the following expression: Y ^ 2 = (64/2) ^ 2 + 24 ^ 2.

The result of the calculation will have the following form Y ^ 2 = 32 ^ 2 + 24 ^ 2 = 1024 + 576 = 1600 or Y = √1600 = 40 cm.

Therefore, the diameter of the circle is 40 x 2 = 80 cm.

Answer: the diameter of the circle is 80 cm.