Math, asked by Aadityavijayvargiya, 10 months ago

find the area of the shaded region​

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Answered by kasiram569
0

Answer:

Area of Sector = θ × π 360 × r2 (when θ is in degrees)

Area of Segment = ( θ × π 360 − sin(θ)2 ) × r2 (when θ is in degrees)

L = θ × π180 × r (when θ is in degrees) AND AREA OD SEGMENT =  AREA OF SECTOR MINUS AREA OF TRIANGLE

expand :

AREA OF SECTOR IS ∅°/360°  x radius

so

A = 60°/360° x 24

  = 1/6 x 24

  =4

AREA OF TRIANGLE IN THE CIRCLE = 60° SO, ITS AN equilateral triangle

                                                              =√3/4 X A^2

                                                              = √3/4 X 24^2

                                                              =√3/4 X 576

                                                              =249.41531629

NOW AREA OF SHADED PART =  AREA OF SECTOR - AREA OF TRIANGLE\

                                                    = 2 - 249.41531629

                                                    =247.41

AREA WILLNOT BE IN MINUS (-) SO

ANSWER====247.41 CM

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