Math Problem Statement

In the figure, ABCD is a square, CDB is a quarter circle and COB is a semicircle. The area of the square is 144 cm?. Find the total area of the shaded parts. (Take = 3.14.)

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of Circles
Area of Squares

Formulas

Area of a square: A = s²
Area of a quarter circle: A = (1/4) × π × r²
Area of a semicircle: A = (1/2) × π × r²
Diagonal of a square: d = s√2

Theorems

Pythagoras' Theorem (for diagonal calculation)

Suitable Grade Level

Grades 8-10