Calcworkshop

Login
  • Home
  • Reviews
  • Courses
    • Algebra I & II
      • Intro Algebra
      • Solving Equations
      • Exponents
      • Polynomials
      • Factoring
      • Rationals
      • Graphing Linear Equations
      • Systems of Equations
      • Radicals
      • Functions & Statistics
    • Geometry
      • Basic Geometry
      • Reasoning & Proofs
      • Congruent Triangles
      • Quadrilaterals
      • Similarity
      • Triangles & Trig
      • Circles
      • Polygons & Circles
      • Volume & Surface Area
      • Transformations
    • Pre-Calculus
      • Trigonometry
        • Trigonometric Functions
        • Radian Measure
        • Graphing Trig Functions
        • Trig Identities
        • Trig Equations
        • Law of Sines and Cosines
        • Vector Applications
        • Polar Equations
        • Complex Numbers
      • Math Analysis
        • Intro to Math Analysis
        • Functions and Graphs
        • Expos and Logs
        • Polynomial Functions
        • Rational Functions
        • Conic Sections
        • Series & Sequences
    • Calculus 1, 2, & 3
      • Business Calculus
      • Calculus 1
        • PreCalc Review
        • Limits
        • Derivatives
        • Application of Derivatives
        • Integrals
        • Final Exam
      • Calculus 2
        • Integrals
        • Applications of Integrals
        • Diff-EQs
        • Polar Functions
        • Parametric and Vector Functions
        • Sequences and Series
        • Final Exam
      • Calculus 3
        • Vectors and The Geometry of Space
        • Vector Functions
        • Partial Derivatives
        • Multiple Integrals
        • Vector Calculus
        • Final Exam
    • Statistics & Prob
      • Exploring Data
      • Probability
      • Discrete Distribution
      • Continuous Distribution
      • Joint Distribution
      • Confidence Interval
      • Hypothesis Testing
      • Linear Regression
    • Discrete Math
      • Logic
      • Proofs
      • Sets
      • Number Theory
      • Functions
      • Combinatorics
      • Relations
      • Trees & Graphs
    • Linear Algebra
      • Linear Equations
      • Matrix Algebra
      • Determinants
      • Vector Spaces
      • Eigenvalues and Eigenvectors
      • Orthogonality and Least Squares
      • Symmetric Matrices
      • Final Exam
    • Diff-EQs
      • Intro to DiffEqs
      • First Order Differential Equations
      • Second Order Differential Equations
      • Series Solutions
      • Laplace Transform
      • Systems of Differential Equations
      • Final Exam
    • Praxis
  • FAQs
  • About
  • Contact
  • Login
Home » Polygons and Circles

Master Polygons & Circles
Essential Geometry Skills

Gain confidence in geometry—Master Polygons & Circles—Become an expert in angles and areas

Interior Angles

46 min 13 Examples

  • Introduction to Video: Angles of Polygons
  • Formulas for finding the sum of the interior and exterior angles of a polygon
  • Find the sum of the interior angles and the measure of each interior and exterior angle for a regular polygon (Examples #1-5)
  • Find the number of sides of a regular polygon, given an exterior angle (Examples #6-8)
  • Given an interior angle of a regular polygon find the number of sides (Examples #9-11)
  • How to find interior angles of a irregular polygon (Example #12)
  • Find all the unknown angles for the given polygon (Example #13)

Area Composite Figures

1 hr 19 Examples

  • Introduction to Video: Area of Polygons and Complex Figures
  • Formulas for Finding Area of a Rectangle, Square, Triangle, Parallelogram, Rhombus, and Trapezoid
  • Find the area of the polygon or the side length given the area (Examples #1-6)
  • Find the indicated area or length of a polygon (Examples #7-12)
  • Finding area of composite figures (Examples #13-15)
  • Using ratios and proportions find the area or side length of a polygon (Examples #16-17)
  • Using ratios and proportions find the area or length of a diagonal of a rhombus (Examples #18-19)

Area Regular Polygon

1 hr 24 min 17 Examples

  • Introduction to Video: Area of Regular Polygons
  • Formulas for finding Central Angles, Apothems, and Polygon Areas
  • How to find the measure of a central angle given a regular polygon (Examples #1-4)
  • Find the area of the regular polygon given the apothem and perimeter (Examples #5-7)
  • Find the length of the apothem for the given square (Example #8)
  • Find the indicated measure for a regular polygon (Examples #9-10)
  • Find the area of the regular polygon (Examples #11-12)
  • Calculate the area of the regular polygon (Examples #13-14)
  • Using ratios to find the perimeter and area of similar polygons (Examples #15-17)

Circumference

45 min 13 Examples

  • Introduction
  • Understanding circumference and the arc length theorem
  • Find the circumference (Examples #1-4)
  • Find the arc length, central angle, or radius (Examples #5-8)
  • Find the indicated measures (Examples #9-11)
  • Using the arc length theorem find the values of each variable (Examples #12-13)

Area Circle

57 min 12 Examples

  • Introduction to Video: Areas of a Circles, Sectors, and Segments
  • Formulas for finding the Area of a Circle, Area of a Sector and Area of a Segment
  • Find the area of the circle or sector (Examples #1-4)
  • Find the area of the semicircle, sector or segment (Examples #5-9)
  • Find the area of the shaded region (Examples #10-12)

Chapter Test

1 hr 3 min 29 Problems

  • Find the area of the shaded region (Problems #1-6)
  • Find the area of the shaded region (Problems #7-9)
  • Determine the number of sides or the measure of the central angle (Problems #10-11)
  • Determine the measure of the perimeter, apothem or area (Problems #12-14)
  • Determine the radius, degree of the arc, or the length of the arc (Problems #15-17)
  • Determine the following given a regular hexagon inscribed in a circle (Problems #18-23)
  • Determine the following given a regular hexagon inscribed in a circle (Problems #14-27)
  • Find the ratios for perimeter and area given similar polygons (Problems #28-29)
Calcworkshop

© 2026 Calcworkshop LLC / Privacy Policy / Terms of Service

  • About
  • Reviews
  • Courses
  • Plans & Pricing