Question

Find the area of shaded region

Answer 1

Answer:

Step-by-step explanation:

Question:

• To find the area of the shaded region

Given:

• Side of the square ABCD is 7cm.

To find:

• Area of shaded region = ?

Solution:

Area of the square ABCD = $\boxed{\mathtt{(side)^2}}$

$\mathtt{= (7cm)^2}$

$\mathtt{= 49cm^2}$

We can see that OCA is a quadrant with radius 7cm. Then,

Area of quadrant OCA = $\boxed{\mathtt{\frac{1}{4}(\pi r^2)}}$

$\mathtt{=\frac{1}{4}(\frac{22}{7}\times7cm^2)}$

$\mathtt{=\frac{1}{4}(\frac{22}{7}\times49cm)}$

$\mathtt{=\frac{1}{4}\times154cm}$

$\mathtt{=38.5cm}$

Then,

Area of shaded region =

(Area of square - Area of quadrant)sq. units

$\mathtt{=(49-38.5)cm^2}$

$\boxed{\mathtt{=10.5cm^2}}$

More Information:

• Area of rectangle = $\mathtt{(l\times b)sq. \;units}$

• Area of parallelogram = $\mathtt{(base\times height)sq.\; units}$

• Area of rhombus = $\mathtt{\frac{1}{2}\times(product \;of \;diagonals)sq. \;units}$

• Area of triangle = $\mathtt{\frac{1}{2}\times(base\times height)sq.\;units}$

• Area of circle = $\mathtt{(2\pi r^2)sq.\;units}$