Question

Two arcs of same length of two different circles subtended angles of 25 o and 75 at their centres respectively. Then the ratio of the radii of the circles is o

Answer 1

Answer:

3 : 1

Step-by-step explanation:

Angle = $\frac{Arc}{Radius}$ ===> Radius = $\frac{Arc}{Angle}$

$r_{1}$ = $\frac{l}{25}$

$r_{2}$ = $\frac{l}{75}$

$r_{1}$ : $r_{2}$ = $\frac{l}{25}$ : $\frac{l}{75}$

$r_{1}$ : $r_{2}$ = $\frac{75}{25}$ = $\frac{3}{1}$

$r_{1}$ : $r_{2}$ = 3 : 1