Question

If the circumference of a circle divided into 5 parts which are in A.P. and if the greatest part be 6 times the least, then in radian magnitudes of least angles that the parts subtent at centre of circle.

Answer 1

Answer:

Step-by-step explanation:

A.P.

a,a+d ,a+2d ,a+3d a+4d

so a+4d= 6 a

or d= 5a/4

so A.P. is a.a+ 5a/4.,a+ 10/4,a+15a/4,a+20a/4

or a,9a/4,14a/4,19a/4, 24a/4

360 = 5/2[ a+ 6a]

35a = 720

35a= 2pi

a = 2pi/35

so angles are , 2pi/35, 9pi/70, pi/5, 19pi/35, 12pi/35 radians