Question

15. If the arcs of the same lengths in two circles
with radius r1 and r2 subtend angles 65°and
117°, respectively in the centre, then the ratio of
their areas of sectors can be expressed as​

Answer 1

Answer:

117/65

Step-by-step explanation:

let the measure of the arcs be ' l '

65/360*2πr1 = l (let this be equation A )

117/360*2πr2 = l (let this be equation B)

Equating A and B as right hand side of both equations is same

65*r1 = 117*r2

r1/r2= 117/65

ratio of area of sector of circles is :

{65/360*π(r1^2)}/{117/360*π(r2^2)}

(65/117)*(117^2/65^2) [substituting value of r1/r2]

=117/65