Grades 9-10 Video Solutions 2023-2023_9-10

Video Transcription

Video Summary

The problem involves a rectangle and a circle where a line through both centers divides the remaining rectangle area after the circle is removed. The rectangle vertices are at (0,0), (100,0), (150,0), and (0,50), while the circle has a center at (75,30) with a radius of 10. A line through the centers of both the circle and rectangle bisects the remaining area. To find the slope of this line, calculate the difference in y-coordinates (30 - 25) and x-coordinates (75 - 50), resulting in a slope of 1/5. The correct answer is 1/5.

Keywords

rectangle

circle

line slope

geometry problem

bisect area