If the value of (pi) is taken to be (frac{22}{7}), the area of a semi-circle of diameter 42m is
-
A.
5544m2 -
B.
1386m2 -
C.
132m2 -
D.
264m2 -
E.
693m2
Correct Answer: Option E
Explanation
(pi) = (frac{22}{7}), Diameter D = 42m
Area of a circle = (frac{pi D^2}{4}) when a diameter is given
area of a semicircle (frac{pi D^2}{4}) x (frac{1}{2})
= (frac{22}{7}) x (frac{4262}{4}) x (frac{1}{2})
= (frac{11}{7} times 441)
= 693m(^{2})