In the diagram below of circle A, diameter MP = 26, mZGAI = 30° and radii GA and Al are
drawn
30
If MG a TP, find the area of the sector MAG in terms of and approximated to the nearest
hundredth

The area of sector MAG is 111 square units, if the diameter MP = 26, m∠GAI = 30° and radii are GA and AI.

Step-by-step explanation:

The given is,

                    Diameter MP = 26

                    m∠GAI = 30°

                    GA and AI are radii

                   In the given question diagram is not given, we attach the diagram.

Step:1

           Formula for area of semi circle,

                                       .............................(1)

           where, r - radius of circle

           From given, D = 26 units

                                 r =

                                 r = 13  

          Equation (1) becomes,

                                                     = (3.1415)(84.5)             (∵ )

                                                     = 265.456 square units

                              265.456 square units

Step:2

          Ref attachment,

                          Area of MAG = Area of PAI    (From figure)

         Area of semi circle = Area of MAG + Area of GAI + Area of PAi

                                         = 2 ( Area of MAG) + Area of GAI

         Above equation modified to,

                   2 (Area of MAG) = Area of semi circle - Area of GAI

Step:3

         The Area of GAI is times of Area of semi circle

                        (Six times of 30° equal to 180°)

                  Area of GAI =   × Area of semi circle

                                      =   × 265.456

                 Area of GAI = 44.2423 square units

          From step 2,

               2 (Area of MAG) = 265.456 - 44.2423

                                           = 221.213

                    Area of MAG =

                                           = 110.60677

                    Area of MAG ≅ 111 square units

Result:

       The area of sector MAG is 111 square units, if the diameter MP = 26, m∠GAI = 30° and radii are GA and AI.

step-by-step explanation:

abc

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves