---
title: "G.GSR.7: Radians and Special Triangles (Georgia Mathematics standard)"
code: G.GSR.7
cite_as: Georgia Standards of Excellence, Mathematics, G.GSR.7
subject: math
grades:
  - high-school
language: en
canonical_url: https://georgiahomeroom.org/standards/code/G.GSR.7
md_url: https://georgiahomeroom.org/standards/code/G.GSR.7.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/G.GSR.7.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.7: Radians and Special Triangles

Explore the concept of a radian measure and special right triangles.

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

## Expectations

- **G.GSR.7.1**: Explore and interpret a radian as the ratio of the arc length to the radius of a circle.
- **G.GSR.7.2**: Explore and explain the relationship between radian measures and degree measures and convert fluently between degree and radian measures.
- **G.GSR.7.3**: Use special right triangles on the unit circle to determine the values of sine, cosine, and tangent for 30° ($\frac{\pi}{6}$), 45° ($\frac{\pi}{4}$) and 60° ($\frac{\pi}{3}$) angle measures. Use reflections of triangles to determine reference angles and identify coordinate values in all four quadrants of the coordinate plane.

## 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.