Grades 9-10 Video Solutions 2025-2025_9-10

Video Transcription

Video Summary

The problem involves two concentric circles where the diameter of the inner circle is part of the diameter of the outer circle. The outer circle has a chord of length 16, parallel to the diameter and tangent to the inner circle. The goal is to find the area of the shaded region outside the inner circle but within the outer circle. By using Pythagorean theorem, the difference between the squares of the outer and inner radii (\(R^2 - r^2\)) is determined to be 64. Thus, the area of the shaded region is \(64\pi\). The answer is 64π.

Keywords

concentric circles

chord length

Pythagorean theorem

shaded region

area calculation