5. From the figure below, the small circle in the middle is tangent to each other of the three large circles. If the three circles (outside the small circle) are tangent to each other and each has radius 1,determine the radius of the small circle.

5. From the figure below, the small circle in the middle is tangent to each other of the three large circles. If the three circles (outside the small circle) are tangent to each other and each has radius 1,determine the radius 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.

Chapter6: Circles

Section6.4: Some Constructions And Inequalities For The Circle

Problem 41E

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Question

5. From the figure below, the small circle in the middle is tangent to each
other of the three large circles. If the three circles (outside the small circle)
are tangent to each other and each has radius 1,determine the radius of
the small circle.

7. Find the exact area of the shaded triangle, if an equilateral triangle sides
of length 1 and an isosceles right triangle with legs of length 1, as shown
in the figure below.
E

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