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Ex 6.1, 3 (i) Calculate the length of the arc of a circle if: (i) the radius is 3.5 cm and the angle at the centre is 60Β° Given Radius = r = 3.5 cm Angle = πœƒ = 60Β° Now, Length of an arc = 2πœ‹π‘Ÿ Γ— πœƒ/(360Β° ) = 𝟐 Γ—πŸπŸ/πŸ• Γ— πŸ‘.πŸ“ Γ— (πŸ”πŸŽΒ°)/(πŸ‘πŸ”πŸŽΒ°) = 2 Γ—22/7 Γ—7/2 Γ— 1/6 = 22/6 = 11/3 = 3.666… cm Ex 6.1, 3 (ii) Calculate the length of the arc of a circle if: (ii) the radius is 6.3 cm and the angle at the centre is 120Β° Given Radius = r = 6.3 cm Angle = πœƒ = 120Β° Now, Length of an arc = 2πœ‹π‘Ÿ Γ— πœƒ/(360Β° ) = 𝟐 Γ—πŸπŸ/πŸ• Γ— πŸ”.πŸ‘ Γ— (𝟏𝟐𝟎°)/(πŸ‘πŸ”πŸŽΒ°) = 2 Γ—22/7 Γ—63/10 Γ— 1/3 = 2 Γ—22/1 Γ—9/10 Γ— 1/3 = 2 Γ—22/1 Γ—3/10 = 132/10 = 13.2 cm

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Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

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