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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

7. Areas of Circles and Sectors

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Exercise 23 Page 664

To find the area of a segment for a minor arc, draw radii to form a sector. The area of the segment equals the area of the sector minus the area of the triangle formed.

$22.1 cm^{2}$

Practice makes perfect

A part of a circle bounded by an arc and the segment joining its endpoints is a segment of a circle.

To find the area of a segment for a minor arc, we need to draw radii to form a sector. The area of the segment equals the area of the sector minus the area of the triangle formed.

For the given diagram, we will find the area of the sector and then the area of the triangle. Finally, we will find their difference to find the area of the segment.

Subchapter links

Lesson Check p.663

Practice and Problem-Solving Exercises p.663-666

Standardized Test Prep p.666

Mixed Review p.666