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Question

Consider the following statements and state which of these is/are true.
1. Area of a circle can be derived by cutting the circle into a triangle.
2. Area of a circle can be derived by dividing the circle into sector and rearranging the sectors to form a rectangle.

A
1
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B
2
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C
Both 1 and 2
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D
Neither 1 nor 2
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Solution

The correct option is C Both 1 and 2
As we have seen, we can either cut the circle and form a triangle, and the area of the triangle will give the area of the circle.


We have also seen that a circle can be divided into numerous sectore and those sectors can be rearranged to form a figure which is close in resemblance to a rectangle. Hence both the statements are true.

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