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Question

Find the area of the minor segment of a circle if the area of the circle is 100 cm2 and the area of the major segment is 70 cm2.


A
170 cm2
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B

130 cm2

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C
30 cm2
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D
200 cm2
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Solution

The correct option is C 30 cm2

We know that major and minor segment combined together form the circle.
From the figure,
ACB is minor segment and ADB is major segment.
Area of ACB + Area of ADB = Area of the circle.
Hence, Area of ACB + 70 = 100
Area of ACB = 100 - 70 = 30 cm2
Thus, the area of the minor segment is 30 cm2


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