A circle is drawn inside a square of length 4 units as shown in the figure given above. What is the area of the shaded portion?
[amp_mcq option1=”16-4π” option2=”16-π” option3=”4-π” option4=”4-2π” correct=”option1″]
This question was previously asked in
UPSC CAPF – 2013
When a circle is inscribed in a square, the diameter of the circle is equal to the side length of the square. So, the diameter of the circle is 4 units. The radius of the circle is half of the diameter, which is 4/2 = 2 units.
The area of the circle is π * radius² = π * (2)² = 4π square units.
The shaded portion is the area of the square minus the area of the inscribed circle.
Area of shaded portion = Area of square – Area of circle = 16 – 4π square units.