About This Chapter
How it works:
- Identify which circular arcs, circles and angles are covered on your homework.
- Find videos on those topics within this chapter.
- Watch fun videos, pausing and reviewing as needed.
- Complete sample problems and get instant feedback.
- Finish your homework on circular arcs, circles and angles with ease!
Topics from your homework you'll be able to complete:
- Proving that all circles are similar
- Deriving the equation of a circle using the Pythagorean Theorem
- Proving properties of angles for a quadrilateral
- Constructing the inscribed circles of a triangle
- Identifying the relationships between inscribed angles, radii and chords
- Studying the area and circumference of circles
- Finding the measure of an inscribed angle
1. Circles: Area and Circumference
Like all geometric shapes, circles take up space and a formula is required to calculate the area. Learn about the area and circumference of circles, explore the formula to calculate a circle's area, and review examples that use the diameter and others that use the circumference to find the area of a circle.
2. Inscribed and Circumscribed Figures: Definition & Construction
Inscribed figures are shapes drawn in other shapes while circumscribed figures are shapes drawn outside other shapes. Study the definition and construction of inscribed polygons and circles and circumscribed figures, and find practice problems.
3. How to Find the Measure of an Inscribed Angle
An inscribed angle occurs when two lines, or chords, share an endpoint. Explore this idea in depth, unpacking how to use central angles and arc lengths to determine the measure of the inscribed angles.
4. Tangent of a Circle: Definition & Theorems
The tangent of a circle is a line that touches the circle in only one place, making it unable to enter the circle. Learn about different theorems of tangent circles through geometric examples.
5. Arc Length of a Sector: Definition and Area
Sectors are a part of a circle which meets in the center and has an arch connecting the two straight lengths, or radii: they are shaped much like slices of pizza. Learn how to calculate the arc length of a sector and the formula behind determining the given area.
6. Measurements of Angles Involving Tangents, Chords & Secants
An angle refers to the space that is created when two lines intersect or meet. Learn how to calculate measurements about angles that are created by tangents, chords, and secants in a circle, including two chords, tangent and chord, two tangent lines, tangent and secant, and two secant lines.
7. Measurements of Lengths Involving Tangents, Chords and Secants
A circle has measurements of lengths that intersect at different points on the curve. Learn about intersecting chords, secants, and tangents and their relationship to each other on the circle.
8. Regular Polygons: Definition & Parts
Polygons are two dimensional shapes with straight sides, and regular polygons are those with all equal sides and angles. Learn the differences between regular and irregular polygons and the various parts that are used to create them.
9. Angles Inscribed in a Semicircle
This lesson will demonstrate how to solve problems with angles inscribed in semi-circles. Inscribed angles and semi-circles are defined and examples are provided.
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Other chapters within the High School Trigonometry: Homework Help Resource course
- Real Numbers - Types and Properties: Homework Help
- Working with Linear Equations in Trigonometry: Homework Help
- Working with Inequalities in Trigonometry: Homework Help
- Absolute Value Equations in Trigonometry: Homework Help
- Working with Complex Numbers in Trigonometry: Homework Help
- Systems of Linear Equations in Trigonometry: Homework Help
- Mathematical Modeling in Trigonometry: Homework Help
- Introduction to Quadratics in Trigonometry: Homework Help
- Working with Quadratic Functions in Trigonometry: Homework Help
- Coordinate Geometry Review: Homework Help
- Functions for Trigonometry: Homework Help
- Understanding Function Operations in Trigonometry: Homework Help
- Graph Symmetry in Trigonometry: Homework Help
- Graphing with Functions in Trigonometry: Homework Help
- Basic Polynomial Functions in Trigonometry: Homework Help
- Higher-Degree Polynomial Functions in Trigonometry: Homework Help
- Rational Functions in Trigonometry: Homework Help
- Homework Help for Trig Function Graphs & Rational Expressions in Trigonometry
- Exponential & Logarithmic Functions in Trigonometry: Homework Help
- Trigonometric Functions: Homework Help
- Geometry in Trigonometry: Homework Help
- Triangle Trigonometry: Homework Help
- Working with Trigonometric Graphs: Homework Help
- Trigonometric Equations: Homework Help
- Working with Trigonometric Identities: Homework Help
- Applications of Trigonometry: Homework Help
- Analytic Geometry & Conic Sections in Trigonometry: Homework Help
- Vectors, Matrices & Determinants in Trigonometry: Homework Help
- Polar Coordinates & Parameterizations: Homework Help