The larger circle is inscribed in a square with sides of length 4 cm. The smaller circle is tangent to the larger circle and to two sides of the square as shown. Find the length of the radius of the smaller circle.

The larger circle is inscribed in a square with sides of length 4 cm. The smaller circle is tangent to the larger circle and to two sides of the square as shown. Find the length of the radius of the smaller circle.

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

The larger circle is inscribed in a square with sides of length
4 cm. The smaller circle is tangent to the larger circle and
to two sides of the square as shown. Find the length of the
radius of the smaller circle.

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