Math Problem Statement

As shown, two semicircles are inscribed in a square with a side of 8 cm. Find the area of the shaded region.

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
Area
Semicircles
Square

Formulas

Area of a square: A = side^2
Area of a semicircle: A = (1/2) * π * r^2
Area of shaded region: Area of square - 2 * Area of semicircle

Theorems

Pythagorean Theorem (if needed for further analysis)

Suitable Grade Level

Grades 8-10