Three circles of radius 1 unit fit inside a square such that the two outer circles touch the middle circle and the sides of the square, as shown. Given the centres of the circle lie on the diagonal of the square, find the exact area of the square.

Three circles of radius 1 unit fit inside a square such that the two outer circles touch the middle circle and the sides of the square, as shown. Given the centres of the circle lie on the diagonal of the square, find the exact area of the square.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter6: Circles

Section6.2: More Angle Measures In The Circle

Problem 37E: The larger circle is inscribed in a square with sides of length 4cm. The smaller circle is tangent...

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Question

Three circles of radius 1 unit fit inside a square such that the two outer circles touch the middle
circle and the sides of the square, as shown. Given the centres of the circle lie on the diagonal
of the square, find the exact area of the square.

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