Exercise Set 6.3
Last updated at June 3, 2026 by Teachoo
Transcript
Ex 6.4, 4 (i) A chord of a circle of radius 10 cm subtends 90^β at the centre. Find the area of the corresponding: (i) minor sector (that subtends 90^β at the centre). (Use πβ3.14.) Let the minor sector be OAPB Given that Radius = r = 10 cm π=ππΒ° Now, Area of sector OAPB = ΞΈ/(360Β°)Γ Οr2 = 90/360 Γ 3.14 Γ (10)2 = π/π Γ π.ππ Γ πππ = 1/4Γ 314 = 78.5 cm2 Ex 6.4, 4 (ii) A chord of a circle of radius 10 cm subtends 90^β at the centre. Find the area of the corresponding: (ii) major sector (that subtends 270^β at the centre). (Use πβ3.14.) Area of major sector = Area of circle β Area of sector OAPB Now, Area of circle = Οr2 = 3.14 Γ (10)2 = 3.14 Γ 100 = 314 cm2 Now, Area of major sector = Area of circle β Area of sector OAPB = 314 β 78.5 = 235.5 cm2