If the arcs of the same lengths in two circles subtend angles 65° and 110° at the centre, find the ratio of their radii

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If the arcs of the same lengths in two circles subtend angles 65° and 110° at the centre, find the ratio of their radii

A110/65

B65/110

C13/22

D22/13

Answer:

D. 22/13

Read Explanation:

radius 1 = r₁ 𝚹₁ = 65° = ∏/180 x 65 = 13∏/36 radius 2 = r₂ 𝚹₂ = 110° = ∏/180 x 110 = 22∏/36 l=r₁𝚹₁ = r₂𝚹₂ r₁/r₂ = 𝚹₂/𝚹₁ = 22∏/36 x 36/13∏ = 22/13

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