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Archimedes's Method

The method of...

Question

The method of exhaustion is a method of finding the area of a shape by inscribing inside it a sequence of polygons whose areas converge to the area of the containing shape.

A

True

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B

False

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Solution

The correct option is A
True

We have seen that the method of exhaustion is a method of finding the area of a shape by inscribing inside it a sequence of polygons whose areas converge to the area of the containing shape.

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Q. The method of exhaustion is a method of finding the area of a shape by inscribing inside it a sequence of polygons whose areas converge to the area of the containing shape.

Q. A method can be used to find the area of different shapes.

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Q. The rate of convergence to the area of a semicircle is proportional to the number of sides of the polygon inscribed in it.

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