Arcs Of Circles

                     Lesson 1

                                                           

                                                            Problem:   In circle O, the radius is 150, and the measure of minor arc ST is 100 degrees. Find the length of

         minor arc ST to the nearest integer.

 

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

                                                            Step 1:       

                                                           

                                                            Solution    Arc length = 100°/360° x 2 x π x r

                                                            Step 2:                                                          

 

Solution    = 100°/360° x 2 x 3.14 x 150 = 261.68

Step 3:                    

                                                                 

                                                            Solution    The answer is: 261.68

                                                            Step 4:          

                                                            Complete      

 

           

                                                           Try two practice problems:  

 

Do the following: 

A.

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A circular track has a radius of 90 feet. The distance of point S to point R is 90. Find to the nearest degree, the measure of minor arc.

B.

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In circle O, the radius is 150, and the measure of minor arc GM is 210 degrees.  Find the length of minor arc GM to the nearest integer.

 

 

 

 

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