Maths-
General
Easy
Question
Find the area of the shaded region. Here ABC is an equilateral triangle of side 14cm and BDC is a semicircle.
Hint:
Find the area of equilateral Δ ABC and find the area of semi circle BDC
Area of shaded region = area of Δ ABC + area of semi circle BDC
The correct answer is: 161.839 cm2
Ans :- 161.839 cm2
Explanation :-
Step 1:- Find the Area of equilateral Δ ABC
If the side length of equilateral triangle is then area of triangle = 
Here a = 14 cm we get area of equilateral triangle = 
Step 2:- Find the area of semi circle BDC
Here BC is the diameter d = 14 cm
We get radius r = 14/2 = 7 cm
We know the area of semi circle 
Step 3:- Find the area of the shaded region.
Area of shaded region = area of Δ ABC + area of semi circle BDC
Area of shaded region = 
161.839 cm2
Therefore, Area of shaded region = 161.839 cm2.
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