Answer:
Step-by-step explanation:
Let the length of the arc of the sector which subtend angle of 30°,2πrx°/360 where x°=30°, this can also be written as πrx°/180 .Perimeter of a sector
2r+ arc length.
Now let the arc length = 22/7 x r x 30/180; this gives, 11r/21cm. Therefore the perimeter = r + r + 11r/21 = 210.
Solving for r in the equation
2r + 11r/21 = 210, multiply through by 21, we now have 42r + 11r = 4410
53r = 4410; divide through by 53, r = 83.2cm. Therefore the length of the arc = 11r/21, 11 x 83.2/21 = 43.6cm.
Check: 2r + 11r/21, 2 x 83.2 + 43.6 = 210cm.
Therefore the radius of the sector
r = 83.2cm.
