An arc of a circle of length 22 cm subtends an angle of 3x° at the center of the circle. Find the value of x if the diameter of the circle is 14 cm
-
A.
60o -
B.
120o -
C.
180o -
D.
30o
Correct Answer: Option A
Explanation
( ARChspace{1mm}length = (frac{theta}{360})times 2pi r\22=frac{3x}{360}times left(2 times(frac{22}{7})times(frac{7}{1})right)\3x = 180\x = frac{180}{3}\x = 60^{circ})