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If the arcs of same length in two circles subtend angles of 60° and 75° at their centres, the ratio of their radii is
  • a)
    3 : 4
  • b)
    4 : 5
  • c)
    5 : 4
  • d)
    3 : 5
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the arcs of same length in two circles subtend angles of 60° an...
First circle subtend angle = 60°
2nd circle subtend angle = 75°
For the first circle:
⇒ angle1 = 60 = 60 × π/180 = π/3 radians
For the second circle:
⇒ angle2 = 75 = 75 × π/180 = 5 π/12 radians
We have the formula 

radius1 : radius2 = 5 : 4
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If the arcs of same length in two circles subtend angles of 60° and 75° at their centres, the ratio of their radii isa)3 : 4b)4 : 5c)5 : 4d)3 : 5Correct answer is option 'C'. Can you explain this answer?
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