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Two arcs of two different circle are of equal lengths. If these arcs subtends angles of 45^(@) and 60^(@) at the centre of the circles. Find the ratio of the radii of the two circles. |
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Answer» SOLUTION :`45^@=pi/4` RAD and `60^@=pi/3` rad LET `r_1` and `r_2` be the radii of the two circles and be the length of each arc. `therefore s=r_1pi/4=r_2pi/3 (because s=r THETA)` `rArr r_1/r_2=4/3` Hence the required ratio of radii =4:3 |
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