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Standard XII

Mathematics

Archimedes's Method

10. ABCD is a...

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10. ABCD is a square with side a . With centres A,B,C and D four circles are drawn such that each circle touches externally two of the remaining three circles.Let - be the area of the region in the interior of the square and the exterior of the circles.Then the Maximum value of - is

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A B C D

is a square with side

a

. With centres

A, B, C

and

D

four circles are drawn such that each circle touches externally two of the remaining three circles. Let

δ

be the area of the region in the interior of the square and exterior of the circles. Then the maximum value

δ

is:

Q. ABCD is a square with side a. With centres A, B, C and D four circles are drawn such that each circle touches externally two of the remaining three circles. Let

δ

be the area of the region in the interior of the square and exterior of the circles. Then the maximum value of

δ

Q. ABCD is a square with side a. With centres A, B, C and D four circles are drawn such that each circle touches externally two of the remaining three circles. Let

δ

be the area of the region in the interior of the square and exterior of the circles. Then the maximum value of

δ

is :

ABCD is a square with side a. With centres A, B, C and D four circles are drawn such that each circle touches externally two of the remaining three circles. Let $δ$ be the area of the region in the interior of the square and exterior of the circles. Then the maximum value of $δ$ is:

A B C D

is a square with side

a

. With centers,

A, B, C

and

D

four circles are drawn such that each circle touches externally the two of the remaining three circles. Let

δ

be the area of the region in the interior of the square that is not covered by the circles. Then the value of

δ

is:

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