An arc of a circle of radius 6cm is 8cm long. Find the area of the sector
-
A.
5(frac{1}{3})cm2 -
B.
24cm2 -
C.
36cm2 -
D.
84cm2
Correct Answer: Option B
Explanation
Radius of the circle r = 6cm, Length of the arc = 8cm
Area of sector = (frac{theta}{360}) x 2(pi)r2……..(i)
Length of arc = (frac{theta}{360}) x 2(pi)r……..(ii)
from eqn. (ii) (theta) = (frac{240}{pi}), subt. for (theta) in eqn (i)
Area x (frac{240}{1}) x (frac{1}{360}) x (frac{pi 6}{1})
= 24cm2