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If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii

Posted by Stanzin Namgial 6 years, 2 months ago

CBSE > Class 11 > Mathematics

2 answers

Gaurav Bansal 6 years, 2 months ago

Correct answer is 5:4

0Thank You

Samriddhi Singh 6 years, 2 months ago

In this only u have to put the formula of Theta=L/R Let for 1st circle. Length be L Radius be R. Theta=60°=π/3 ....... Converted in radians. Therefore,..... Theta=L/R R=L/Theta.........(I) Therefore ... R=L/π/3....=3L/π. For 2nd circle . Length is same ...As A/c to question . Therefore Length=L Radius =R'. (Let) Theta=75°=7π/9.........(ii) Therefore, R'=L/7π/9. R'=9L/7π. ....... Now ratio...Of their radii... R/R'=3L/π÷9L/7π. R/R'=7/3. Ratio=7:3

2Thank You

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CBSE > Class 11 > Mathematics