The central angles p, q, r and s (in degrees) of four sectors in a Pie Chart satisfy the relation 9 p=3 q=2 r=6 s . What is the value of 4 p-q ?

Step-by-step solution

p+q+r+s=360^ ....(1) p= k 9 , q= k 3 , r= k 2 , s= k 6 From (1), k 9 + k 3 + k 2 + k 6 =360^ 2 k+6 k+9 k+3 k 18 =360^ 20 k=360^ 18 k =324^ 4 p-q= 4 k 9 - k 3 = k 9 = 324 9 4 p-q=36^