# The chord length of the circle is 48 and the distance from the center of the circle to this chord is 70

July 31, 2021 | education

| **The chord length of the circle is 48 and the distance from the center of the circle to this chord is 70. Find the diameter of the circle.**

To solve this example, we will use the conditional variable “Y”, by means of which we denote the unknown radius of the circle.

Based on the conditions of such an example, we form the following equation: Y ^ 2 = 70 ^ 2 + (48/2) ^ 2.

Y ^ 2 = 4900 + 24 ^ 2 = 576 + 4900 = 5476 or Y = √5476 = 74.

The diameter of the circle is two of its radii 74 x 2 = 148.

Answer: the diameter of the circle is 148.