A big circle is inscribed in a square. A small circle is tangent to the big circle and to two sides of the square. If the diagonal of the square is 2 cm, what is the exact area of the small 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.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 14E: A circle is inscribed in a triangle having sides of lengths 5 in., 12 in., and 13 in. If the length...
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3. A big circle is inscribed in a square. A small circle is tangent to the big circle and to two
sides of the square. If the diagonal of the square is 2 cm, what is the exact area of the small
circle?
Transcribed Image Text:3. A big circle is inscribed in a square. A small circle is tangent to the big circle and to two sides of the square. If the diagonal of the square is 2 cm, what is the exact area of the small circle?
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