---
title: "G.GSR.8: Circle Theorems Overview (Georgia Mathematics standard)"
code: G.GSR.8
cite_as: Georgia Standards of Excellence, Mathematics, G.GSR.8
subject: math
grades:
  - high-school
language: en
canonical_url: https://georgiahomeroom.org/standards/code/G.GSR.8
md_url: https://georgiahomeroom.org/standards/code/G.GSR.8.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/G.GSR.8.md
source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180
source_last_changed: 2024-10-09
data_built: 2026-09-18
publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district.
up: https://georgiahomeroom.org/standards/math/high-school.md
index: https://georgiahomeroom.org/standards/index.md
---

# G.GSR.8: Circle Theorems Overview

Examine and apply theorems involving circles; describe and derive arc length and area of a sector; and model and explain real-life situations involving circles.

- Subject: Mathematics
- Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md

## Expectations

- **G.GSR.8.1**: Identify and apply angle relationships formed by chords, tangents, secants and radii with circles.
- **G.GSR.8.2**: Using similarity, derive the fact that the length of the arc (arc length) intercepted by an angle is proportional to the radius; derive the formula for the area of a sector. Solve mathematically applicable problems involving applications of arc length and area of sector.
- **G.GSR.8.3**: Write and graph the equation of circles in standard form.

## Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.