Math Problem Statement

A chord of a circle of radius 14 cm subtends an angle of 120° at the centre. Find the area of the corresponding minor segment of the circle.

Solution

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Math Problem Analysis

Mathematical Concepts

Circle Geometry
Area of a Segment

Formulas

Area of sector = (θ / 360°) × π × r²
Area of triangle = 1/2 × base × height
Area of segment = Area of sector - Area of triangle

Theorems

Properties of a Circle
Trigonometric Ratios

Suitable Grade Level

Grades 9-10

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