Grades 9-10 Video Solutions 2010-Levels 9&10 Video Solutions 2010 problem16

Levels 9&10 Video Solutions 2010 problem16

Video Transcription

Video Summary

The video discusses a geometry problem involving a circle divided into four parts using arcs. The task is to determine the perimeter of one of these parts. By calculating the perimeter of a semicircle (radius 2) and a quarter of the larger circle (radius 4), the total perimeter is determined. The semicircle contributes a perimeter of \(4\pi\), and the quarter-circle adds \(2\pi\), resulting in a total perimeter of \(6\pi\) for each part. Therefore, the correct answer to the problem is \(6\pi\).

Keywords

geometry problem

circle arcs

perimeter calculation

semicircle

quarter-circle