4. A pathway running tangentially to a perfectly circular lagoon is to have a branching at a point 500m before the tangent point and the branching, crossing the lagoon at an initial deflection angle of 75° to connect directly to a point on the lagoon's periphery by means of a hanging bridge. If the lagoon has a diameter of 1700m, determine the following: a) the length of the hanging bridge; b) if the hanging bridge divides the area of the lagoon into two segments, compute the area of the biggest segment in km2 .

4. A pathway running tangentially to a perfectly circular lagoon is to have a branching at a point 500m before the tangent point and the branching, crossing the lagoon at an initial deflection angle of 75° to connect directly to a point on the lagoon's periphery by means of a hanging bridge. If the lagoon has a diameter of 1700m, determine the following: a) the length of the hanging bridge; b) if the hanging bridge divides the area of the lagoon into two segments, compute the area of the biggest segment in km2 .

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

Section6.3: Line And Segment Relationships In The Circle

Problem 39E: The center of a circle of radius 2 in. is at a distance of 10 in. from the center of a circle of...

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