• Math

  Circle

  Posted by Anagha Babu on June 24, 2023 at 8:42 pm

  What is the angle subtended at the centre of a circle of radius 6 cm by an arc of length 3 cm?

  Geethika Pennapati replied 1 year, 10 months ago 2 Members · 1 Reply
• 1 Reply

• 

  Geethika Pennapati

  Member

  June 24, 2023 at 10:25 pm

  Given :

  Length of the arc = 3πcm

  Radius of a circle ,r = 6 cm

  Length of the arc ,l = (θ/360°) × 2πr

  3π = (θ/360°)× 2π ×6

  3π = (θ/360°) × 12π

  3π /12 π = (θ/360°)

  ¼ = (θ/360°)

  4θ = 360°

  θ = 360°/4

  θ = 90°

  Angle subtended at the centre of the circle = 90°

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