What is the area of the shaded region if the area of the square is 100 cm2?
Correct Answer : a ) 26 cm2Explanation :
Considering the given figure
Area of the square (AS) is = 100 cm2 …… (1)
Side of the square =
Thus, the Diameter of the circle will be 10 cm
Property: Angle subtended by the two ends of diameter with any other point on the circumference of a circle is always 900.
∠EGF = 900
In triangle EGF using Pythagoras theorem
(EF)2 = (EG)2 + (FG)2
EG = 8 cm
Area of the triangle EGF will be
So, the area of the shaded region will be
From equation (1) and (2) we get
Area of shaded region = 50 – 24
= 26 cm2
Hence, (a) is the correct answer.
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