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Ex 6.4, 4 (i) A chord of a circle of radius 10 cm subtends 90^∘ at the centre. Find the area of the corresponding: (i) minor sector (that subtends 90^∘ at the centre). (Use πœ‹β‰ˆ3.14.) Let the minor sector be OAPB Given that Radius = r = 10 cm 𝛉=πŸ—πŸŽΒ° Now, Area of sector OAPB = ΞΈ/(360Β°)Γ— Ο€r2 = 90/360 Γ— 3.14 Γ— (10)2 = 𝟏/πŸ’ Γ— πŸ‘.πŸπŸ’ Γ— 𝟏𝟎𝟎 = 1/4Γ— 314 = 78.5 cm2 Ex 6.4, 4 (ii) A chord of a circle of radius 10 cm subtends 90^∘ at the centre. Find the area of the corresponding: (ii) major sector (that subtends 270^∘ at the centre). (Use πœ‹β‰ˆ3.14.) Area of major sector = Area of circle – Area of sector OAPB Now, Area of circle = Ο€r2 = 3.14 Γ— (10)2 = 3.14 Γ— 100 = 314 cm2 Now, Area of major sector = Area of circle – Area of sector OAPB = 314 – 78.5 = 235.5 cm2

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