# 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.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.