Question

How do I find the approximate area of the blue shaded portion?

Answer 1

Hint: In this problem, we can see how we can find the area of the blue shaded portion. We can assume an area of square inside which a circle is fitted. We can shade the square, for which we have to find the area. If we have the length of one side of the square 5cm and radius of the circle is 2cm. we can find the area of the square with the formula and we can find the circle area and we can subtract the area of the square and the area of the circle to get the required area.

Complete step by step answer:
We have a diagram of square in which a circle is fixed,

One side of the square is 5cm and the radius of the circle is 2cm.
We here have to find the area of the blue shaded square.
We can find the area of the square.
We know that all sides of the square are equal, we are given the length of a side, a = 5cm
We also know that the,
Area of the square = \[{{a}^{2}}={{5}^{2}}=25\]
The area of the square is \[25c{{m}^{2}}\]
We can now find the area of the circle.
We know that area of the circle = \[\pi {{r}^{2}}\]
We also know that the radius of the circle is 2 cm,
Area of the circle = \[\dfrac{22}{7}\times 2\times 2\] = \[12.5\]
Now we can find the area of blue shaded region by subtracting the total area of square and the area of circle, we get
Area of blue shaded region = \[25-12.5=12.5\]

Therefore, the area of the blue shaded region is \[12.5c{{m}^{2}}\].

Note: Students make mistakes, while finding the value for the area of square and circle using the formula. We should know some area formulas for some shapes to solve these types of problems. We should also know the unit of the shapes, which should be concentrated.