Math Problem Statement
area of major segment
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Circle
Segments of a Circle
Radians
Formulas
A_segment = A_sector - A_triangle
A_sector = 1/2 * r^2 * θ
A_triangle = 1/2 * r^2 * sin(θ)
A_minor = 1/2 * r^2 * (θ - sin(θ))
A_major = π * r^2 - A_minor
Theorems
Area of a sector theorem
Area of a triangle using sine theorem
Suitable Grade Level
Grades 9-12