Question

If the arcs of the same length in two circles subtend angles of 60◦ and 90◦ at the centre , then the ratio of their radii is

Answer 1

length of arc = Angle × radius

L= R×@
L1= R1×60°
L2= R2×90°

Now L1=L2 Given

R1×60°= R2×90°
R1/R2= 90°/60° = 3/2 Answer

Answer 2

Answer:We know that length of an arc is given by,

S = R*X , where X = angle subtended by the arc at center in degrees.

Using this,

S = A*60

S = B*75 ,

ratio of radii = A/B = 75/60 = 5/4

Step-by-step explanation: