Question

Find the shaded area of the figure

Answer 1

To find the shaded area, subtract the area of rectangle from the area of circle.


Area of a circle = πr²

Now we will have to calculate the radius of a circle.

Now you might be knowing that for rectangles and square inscribed in a circle, the diagonal is the diameter of the circle

So, the diagonal of the rectangle = Diameter of the circle

Diagonal can be calculated by Pythagoras Theorem.

=> Diagonal² = 5² + 12²

=> Diagonal² = 25 + 144

=> Diagonal² = 169

=> Diagonal = √169

=. Diagonal = 13cm


=> Diameter = 13 cm

So radius = ??

Half of diameter

=> 13/2

= 6.5 cm.



So area of circle = π × 6.5²

=> π × 42.25

= 22/7 × 42.25

= 132.78cm² (approx)


So now area of rectangle = 12 × 5 (length × breadth)

=> 60 cm²

So area of shaded = 132.78 - 60

= 72.78 cm² (approx)


Answer :- 72.78 cm²