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Geometry

Our Geometry department is customized to narrow the scope to the most detailed topics like Circles, then expand to include multiple areas of specialization to achieve comprehension of context within the Mathematics department. Coverage in this topic includes examination of Constant Pi and Lines Tangent to provide proficiency from basic understanding to advanced concepts. In our lessons Radius of a Circle and Area of Circles, you will attain strong foundational skills on which to enhance and perfect. Parts of a Circle is a lesson planned to explore applications and properties of a circle. For example, there is a special Relationship Between a Chords, Diameters, and Minor Arcs of a Circle, which might be useful when making proofs about Inscribed Quadrilaterals. Enrich your mathematical skills with Circles and elevate your comprehension of concepts, theories and application.

- Terms Relating to Circles
- Converting Between Diameter and Radius
- Parts of a Circle
- Degrees in a Circle
- Circumference of a Circle
- Center of a Circle
- Chords
- Diameter of a Circle
- The Relationship Between a Chord and Diameter of a Circle
- Radius of a Circle
- Degrees in a Quarter Circle
- Degrees in Semi Circle
- Degrees in a Three Quarter Circle
- The Constant Pi
- Circumference Formula
- Circular Arc
- Arc Length
- The Relationship Between Chords, Diameters, and Minor Arcs of a Circle
- Determining Arc Length
- Properties of Chords and Minor Arcs in Congruent Circles
- Sector of a Circle
- Central Angle
- Inscribed Angles
- Sector Area of a Circle
- Formula for the Area of a Sector
- Determining the Area of a Sector
- The Perimeter of a Circular Sector
- Determining the Perimeter of a Sector
- Finding the Area of a Sector Using the Central Angle
- Point of Tangency
- Lines Tangent to a Circle
- Proving Lines are Tangent to Circles
- Two Lines Tangent to a Circle
- Solving for Radii and Tangent Segments
- Intercepted Arc Formed by a Tangent and Secant
- Inscribed and Circumscribed Polygons and Circles
- Inscribed Right Traingle
- Inscribed Quadrilaterals
- Applying Circumference and Area of Circles

Study fundamental topics in college-level algebra with emphasis on application.

Grasp core concepts of statistics such as probability distributions, approximations, and hypothesis-testing.

Pathways are a sequence of tutorials that help you learn a whole subject area, one concept at a time. Choose from multiple teachers and teaching styles.

The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 27 of Sophia's online courses for college credit. These courses are eligible to transfer to many different colleges and universities.