Area Of Sector And Segment

                     Lesson 1

                                                           

                                                            Problem:   In circle O, the radius is 110, and the measure of minor arc MN is 80 degrees. Find the length of

         minor arc MN to the nearest integer.

                                                           

                                                            Solution    Arc length = (Central angle /360°) x circumference

                                                            Step 1:       

                                                           

                                                            Solution    Arc length = 80°/360° x 2 x π x r

                                                            Step 2:                                                          

 

Solution    = 80°/360° x 2 x 3.14 x 110 = 15.351

Step 3:                    

                                                                 

                                                            Solution    The answer is: 15.351

                                                            Step 4:          

                                                            Complete      

 

           

                                                           Try two practice problems:  

 

Do the following: 

A. HTML 1.jpg Find the area of shaded sector shown in fig.  The radius of the circle is 35 units and the length of the arc measures 35 units
     
B. HTML 2.jpg There are 3 equal segments in semi circle O. If the radius of circle is 20. What is the area of each segment?

 

 

 

 

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