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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
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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.
Transcribed Image Text: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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