Question
Given two squares of the same length. One square has a triangle in it with its vertices coinciding with three vertices of the square. The other square contains a circle touching all mid points of the sides of the square.Which of these two will have a greater area and what is the difference in the areas if the length of the given square is 4m?
[4 MARKS]
Answer: Option A
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The given square has a length of 4 m
Area of the Triangle = 0.5 × 4 × 4 = 8 m2
The radius inscribed within the square has radius of 42=2m
Area of the given circle = π × 22 =12.56 m2
Circle has a greater area compared to triangle.
Difference between the area of the circle and triangle = 4.56 m2
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