Find Area of a Segment in a Circle (3 Methods)

Learn three different techniques to find the area of a segment in a circle! Mario's Math Tutoring breaks down this challenging geometry concept by first finding the area of the sector (like a pie slice) and then subtracting the area of the inscribed triangle. We'll explore examples with 90°, 60°, and 30° central angles, demonstrating methods like proportions, the 1/2 * a * b * sin(C) triangle area formula, and using special right triangles (30-60-90) and trigonometry (SOH CAH TOA) to find triangle dimensions. In this video, you'll discover: 0:00 Introduction to Area of a Segment in a Circle 0:20 Understanding a Segment (Sector Area - Triangle Area) 0:50 Example 1: 90° Central Angle, Radius 4cm 1:00 Finding Area of the Sector (Fraction of Circle Area) 2:00 Finding Area of the Right Triangle (1/2 * base * height) 2:40 Calculating Segment Area (4π - 8 cm²) 3:00 Example 2: 60° Central Angle, Radius 10 inches 3:20 Finding Area of the Sector (Using a Proportion) 4:30 Methods for Finding Triangle Area (1/2 * ab * sin(C) or dropping an altitude) 5:00 Using 30-60-90 Special Right Triangles to find triangle base and height 6:00 Calculating Triangle Area 6:30 Calculating Segment Area (50π/3 - 25√3 inches²) 7:40 Example 3: 30° Central Angle, Radius 8 yards 8:00 Finding Area of the Sector (Fraction of Circle Area) 9:00 Method 1 for Triangle Area: 1/2 * ab * sin(C) 9:50 Calculating Segment Area (16π/3 - 16 yards²) 10:10 Method 2 for Triangle Area: Dropping an Altitude and using SOH CAH TOA 11:50 Verifying Triangle Area with Method 2 Master the area of a segment and confidently tackle complex circle geometry problems! #AreaOfSegment #CircleGeometry #SectorArea #TriangleArea #Geometry #MathTutorial #MathHelp ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join