Geometry Challenge: Finding The Shaded Area Of A Semicircle - SAT, ACT, GCSE Maths

We have a semicircle with diameter AB = 42 cm and an isosceles triangle ABC inside it (A and B are the ends of the diameter, C is the top point on the arc). The two yellow caps are the shaded region. Find the total shaded area.

What you’ll learn:
- How to turn a “curvy shape” question into one subtraction
- Why the altitude from C to AB equals the radius (symmetry/Thales)
- Fast formulas
📚 Exam Boards & Contests Covered:
SAT Math, AP Calculus AB/BC, AP Statistics
ACT Math section
GRE Quantitative, Praxis Math
AMC, AIME, USAMO
Math Olympiad training
GCSE & A-Level Math
Junior, Intermediate, and Senior Math Challenges
Hosts most Canadian math contests
North American math competitions
Various math exams for engineering students
National Senior Certificate (NSC) Math
Math competitions & curriculum development
AMC (Australian Maths Competition), Olympiads
O-Level & A-Level Math
Gaokao (National College Entrance) – Rigorous Math section
Chinese Math Olympiad (CMO) – IMO feeder
Mathematics Certification Institute of Japan – Suuken (Math Kentei)
Worldwide private math program
Singapore Math / Marshall Cavendish Education – Curriculum with international reach
Advanced Olympiad math curriculum and contests
🌍Global Math Topics:
Whole Numbers, Integers, Fractions, Decimals, Percentages, Ratios and Proportions, Order of Operations, Estimation and Rounding, Prime Numbers, Factors, Divisibility Rules, LCM, HCF, Standard Form, Significant Figures, Algebraic Expressions, Simplification, Expansion, Factoring, Linear Equations, Quadratic Equations, Simultaneous Equations, Inequalities, Algebraic Fractions, Substitution, Functions, Relations, Exponents, Laws of Indices, Logarithms, Sequences, Series, Polynomials, Rational Expressions, Points, Lines, Angles, Types of Angles, Parallel Lines, Perpendicular Lines, Triangles, Congruence, Similarity, Quadrilaterals, Polygons, Circles, Arcs, Chords, Tangents, Sectors, Constructions, Coordinate Geometry, Loci, Transformations, Theorems, Proofs, Perimeter, Area, Volume, Surface Area, Unit Conversions, 2D Shapes, 3D Shapes, Trapezium Rule, Trigonometric Ratios, Right Triangle Trigonometry, Inverse Trigonometric Functions, Non-right Triangles, Sine Rule, Cosine Rule, Area Using Sine, Radians, Trigonometric Graphs, Trig Identities, Trig Equations, Limits, Continuity, Differentiation, Tangents, Normals, Maxima, Minima, Rates of Change, Integration, Indefinite Integrals, Definite Integrals, Area under Curve, Volume of Revolution, Differential Equations, Vectors, Vector Addition, Vector Subtraction, Scalar Multiplication, Magnitude, Dot Product, Matrices, Matrix Operations, Determinants, Inverse Matrices, Solving Systems using Matrices, Data Collection, Sampling, Frequency Tables, Histograms, Mean, Median, Mode, Range, Quartiles, Boxplots, Cumulative Frequency, Standard Deviation, Variance, Normal Distribution, Z-scores, Correlation, Regression, Probability, Experimental Probability, Theoretical Probability, Tree Diagrams, Mutually Exclusive Events, Independent Events, Conditional Probability, Permutations, Combinations, Binomial Distribution, Poisson Distribution, Venn Diagrams, Set Operations, Truth Tables, Logical Connectives, Modular Arithmetic, Direct Proof, Proof by Contradiction, Mathematical Induction, Simple Interest, Compound Interest, Depreciation, Tax, Bills, Budgets, Investments, Loans, Annuities, Currency Exchange, Profit, Loss, Discount, Cartesian Plane, Graphing Linear Functions, Graphing Quadratic Functions, Graphing Exponential Functions, Graphing Logarithmic Functions, Sketching Graphs, Real-life Graphs, Graph Transformations, Graph Theory, Recursion, Networks, Algorithms, Dijkstra’s Algorithm, Combinatorics, Complex Numbers, Conic Sections, Multivariable Calculus, Vector Calculus, Linear Algebra, Group Theory, Topology, Real Analysis, Complex Analysis, Advanced Number Theory, Mathematical Modelling, ODEs, PDEs, Mathematical Proof and Logic.

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Видео Geometry Challenge: Finding The Shaded Area Of A Semicircle - SAT, ACT, GCSE Maths канала Easy-way Maths