Circle theorems

Jessica White
7 min read
Study Guide Overview
This study guide covers circle theorems relevant to the SAT Math section, including central, inscribed, and circumscribed angles, as well as tangent-chord angles and cyclic quadrilaterals. It also explains chord properties, secant and tangent relationships, and related theorems with formulas. The guide provides practice questions and emphasizes important test-taking strategies.
#Circle Theorems: Your Ultimate Guide for the SAT Math 🎯
Hey there! Let's dive into the world of circles. These theorems are super important for the SAT, and once you get the hang of them, you'll be solving problems like a pro! This guide is designed to be your go-to resource the night before the exam. Let's make sure you're feeling confident and ready to ace it!
#Angles in Circles
#Central and Inscribed Angles
These two types of angles are the foundation for many circle problems. Understanding their relationship with intercepted arcs is key.
-
Central Angle:
- Formed by two radii meeting at the circle's center.
- Its measure is equal to the measure of its intercepted arc. Think of it like a direct match! 📐
-
Inscribed Angle:
- Formed by two chords that meet on the circle's circumference.
- Its measure is half the measure of its intercepted arc (or half the central angle that intercepts the same arc). It's like the central angle is sharing its measure. 🤓
-
Inscribed Angle Theorem:
- Inscribed angles that intercept the same arc are congruent (equal). If they're looking at the same slice of the pie, they're the same angle! 👯
-
Angles in a Semicircle:
- An angle inscribed in a semicircle is always a right angle (90 degrees). This is a classic setup on the test. 📐
Think of the central angle as the "king" of the arc – it gets the full measure. The inscribed angle is like the "prince" – it gets half the measure.
#Special Angle Relationships
- Circumscribed Angle:
- Formed by two tangent lines...

How are we doing?
Give us your feedback and let us know how we can improve