Example 5
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Example, 5 If the arcs of the same lengths in two circles subtend angles 65Β°and 110Β° at the center, find the ratio of their radii. We know that π = r ΞΈ There are 2 circle of different radius So the radius be denoted by r1 and r2 Length of arc of Ist circle π = r1 ΞΈ = r1 Γ 65o = r1 Γ 65o Γ π/(180Β°) = r1 Γ (13 π)/36 It is give that Arcs are of same length Hence Length of I arc = length of II arc r1 Γ (13 π)/36 = r2 Γ (11 π)/18 π1/π2 = (11 π)/18 Γ 36/13π π1/π2 = 22π/13π π1/π2 = 22/13 Hence r1 : r2 = 22 : 13 So Ratio of Radius = 22 : 13
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About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.