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Q.
Two arcs of same length of two different circles subtended angles of 25° and 75° at their centres respectively . Then the ratio of the radii of the circles is
Trigonometric Functions
Solution:
Length of arc , $l = r \theta$
$\therefore \, \frac{r_{1}}{r_{2}}=\frac{l/\theta_{1} }{l / \theta_{2}} =\frac{\theta_{2}}{\theta_{1}}$
$=\frac{75}{25}$
$=\frac{3}{1}$