Question

Which of the following statements is/are true?

• A. Area of a circle can be derived by cutting the circle into a triangle.
• B. Area of a circle can be derived by dividing the circle into segments and rearranging the segments to form a rectangle
• C. Area of a circle can be derived by dividing the circle into segments and rearranging the segments to form a circle.
• D. None of the above.

Answer 1

Answer: (A), (B)

The correct options are
A Area of a circle can be derived by cutting the circle into a triangle.
B Area of a circle can be derived by dividing the circle into segments and rearranging the segments to form a rectangle

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 segments and those segments can be rearranged to form a figure which is close in resemblance to a rectangle. Hence,
Area of a circle can be derived by cutting the circle into a triangle and Area of a circle can be derived by dividing the circle into segments and rearranging the segments to form a rectangle are true.