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Five points on a circle separate the circle into five congruent arcs.

a. What is the degree measure of each arc? . b. If the radius of the circle is 3 cm, what is the length of each arc? c. Suppose the points are connected consecutively with line segments. How do you describe the figure formed?

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A circle divided into five equal parts:

1 part = 1/5

a.) A circle has a full 360 degrees. 1/5 (360 degrees) = 72 degrees Each arc has a measure of 72 degrees. The central angle = degree measure of intercepted arc

b.) Step 1: Find the circumference (C), when radius = 3 cm; π=3.14 (pi) C = 2π r C = 2 (3.14) (3 cm) = (6.28) (3 cm) = 18.84 cm Step 2: Find the length (in cm) of each arc. Arc length = central angle × Circumference 360 dgrees Arc length = 72 degrees x 18.84 cm 360 degrees Arc length = (1/5) ( 18.84 cm) Arc length = 3.768 cm or 3. 77 cm rounded off to the nearest hundredths Each arc has a length of 3.77 cm.

c.) Pentagon, a polygon with five sides, is formed.

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A. each arc measures 72 b. 3.78 cm is the length of each arc c. a regular polygon having 5 equal sides called PENTAGON. :)