If in two circles ,arc of the same length substend angle 60 and 75
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Let the length of the circle be ll
Angle of the circle 1 =60∘60∘
Angle of the circle 2 =75∘75∘
Let the radius be r1r1 and r2r2
l=r1θl=r1θ
⇒r1×60×π180⇒r1×60×π180
⇒πr13⇒πr13
l=r2θl=r2θ
⇒r2×75×π180⇒r2×75×π180
⇒5πr212⇒5πr212
Since ll is same for both the circles
⇒πr13=5πr212⇒πr13=5πr212
⇒r1:r2=5:4
Angle of the circle 1 =60∘60∘
Angle of the circle 2 =75∘75∘
Let the radius be r1r1 and r2r2
l=r1θl=r1θ
⇒r1×60×π180⇒r1×60×π180
⇒πr13⇒πr13
l=r2θl=r2θ
⇒r2×75×π180⇒r2×75×π180
⇒5πr212⇒5πr212
Since ll is same for both the circles
⇒πr13=5πr212⇒πr13=5πr212
⇒r1:r2=5:4
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Answer:
THE ANSWER IS 5/4
Step-by-step explanation:
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