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?

2

Answers

  • Brainly User
2015-09-08T00:44:46+08:00

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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.


      

                  




1 5 1
2015-09-08T16:01:36+08:00

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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. :)
1 5 1