1.

A chord of a circle of radius10 cm subtends a right angle at the centre .Find the area of the corresponding 1)minor segment 2)major segment1

Answer»

Solution :

radius of a CIRCLE, AO = 10 cm ∠AOC = 90°

AREA of AAOC = ½ X OA x OC

= ½ x 10 x 10

= 50 cm²

Area of sector OAECO = Ø/360° x πr²

= 90°/360 x 3.14 x (10)²

= 314/4

= 78.5 cm²

i) Area of minor segment AECDA

area of sector OAECO - area of ΔAOC

= 78.5 - 50

= 28.5 cm²

ii) Area of major sector OAFGCO

Area of circle - Area of sector OAECO

= 3.14 x (10)² - 78.5

= 314 - 78.5

= 235.5 cm²



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