Grades 11-12 Video Solutions 2022-2022_11-12

Video Transcription

Video Summary

The problem involves four intersecting lines creating eight equal angles, with a circle diagram used in the solution. To find which black arc matches the perimeter of a smaller gray circle, we consider the scaling relationship in geometry. When a figure's dimensions are scaled by a factor, its perimeter scales by the same factor. Here, the radius from the inner to the outer circle is scaled by four, suggesting the inner circle's perimeter is one-quarter of the outer. Therefore, the arc that is equal to the inner circle's perimeter is Arc D, as it is one-quarter of the outer circle.

Keywords

intersecting lines

equal angles

scaling relationship

circle diagram

perimeter comparison