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Question

A circle is divided into 8 equal parts. Given that the area of the shaded portion is 104 m2. Find the area of the unshaded part of the circle.


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Solution

Steps: 2 Marks
Application: 1 Mark
Result: 1 Mark
Given that

Area of the shaded portion = 104 m2

The circle is divided into 8 equal parts

Area of the circle = (8)×104

                           = 20 m2

Area of unshaded part = Total area - shaded area

                                      = 20 - 104 m2
                                      = 80104m2
                                      = 704 = 17.5 m2
Hence, area of the unshaded portion is 17.5 m2

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