1.

an angle of radius 20cm subtends an angle of 90 degree at the center . find the area of the corresponding major segment of the circle​

Answer»

Answer:

Step-by-step explanation: r=20cm ∠POQ=90°

∴ the triangle is an right angled ISOSCELES Δ

first, area of minor segment = area of minor sectorPOQ - area of ΔPOQ

                                              = ∅/360 *πr² - 1/*b*h

                                              = 90/360 *22/7*20*20

                                              = 1100/7 cm²

area of MAJOR segment = area of circle - area or minor segment

                                      = πr² - 1100/7 cm²

                                      = 22/7*20*20 - 1100/7

                                      =  8800/7 - 1100/7

                                      =  7700/7 = 1100cm²

hope this is correct , GOOD day:)



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