The area of a circle can be visualised by dividing the circle into equal sectors which forms a .

rectangle

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square

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cone

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prism

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Solution

The correct option is A rectangle

The rearranged figure can be visualised as a rectangle with base equal to half the circumference of the circle (πr) and the width as the radius (r)

The area of the rectangle is equal to $π r \times r = π r^{2}$ which is the area of the circle

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Similar questions

Q. The area of a circle can be visualised by dividing the circle into equal sectors and rearranging the sectors to form a__. The area of the rearranged figure will be equal to the area of the circle.

Q. The area of a circle can be visualised by dividing the circle into equal sectors, and rearranging the sectors to form a __. The area of the rearranged figure will be equal to the area of the circle.

The area of a circle can be visualised by dividing the circle into equal sectors, and rearranging the sectors to form a ___ . The area of the rearranged figure will be equal to the area of the circle.

Q. 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 sectors and rearranging the sectors to form a rectangle.

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The area of a circle can be visualised by dividing the circle into equal sectors which forms a .

The correct option is A rectangle The rearranged figure can be visualised as a rectangle with base equal to half the circumference of the circle (πr) and the width as the radius (r) The area of the rectangle is equal to πr×r=πr2 which is the area of the circle

The correct option is A rectangle

The rearranged figure can be visualised as a rectangle with base equal to half the circumference of the circle (πr) and the width as the radius (r)

The area of the rectangle is equal to $π r \times r = π r^{2}$ which is the area of the circle