Question

Find the area of the shaded portion in the square. (assuming the central point of the arc is the corresponding corner)

Answer 1

To find the area of the shaded piece, subtract the square area to the area of the sector. 

6 × 6 − 1/2r^2 0Subtract ☇ 
36−1/2(6)2pi/2
☇
36−1/2(6)2pi/2
☇
7.722 ✔

The area is 7.722. ✩

Answer 2

Answer:

Area of shaded portion is 7.74 square units.

Step-by-step explanation:

Given : a square with side 6 cm

We have to find the area of shaded portion.

Since, the given figure consist of a square with side 6 cm and an quarter circle  is made with radius 6 cm.

Area of shaded portion = area of square - area of quarter circle

First we first area of square ,

Area of square = Side × Side

Thus, Area of square = 6 × 6 = 36 square units.

Now, we find area of quarter circle ,

Area of circle$=\pi r^2$

Thus, area of  quarter circle is one forth of Area of circle

Area of quarter circle =$\frac{1}{4} \pi r^2$

Radius = 6

Area of quarter circle =$\frac{1}{4} \pi (6)^2=9\pi$

Using $\pi=3.14$ , we get,

Area of quarter circle =$9 \times 3.14=28.26$ square units.

Thus, Area of shaded portion = area of square - area of quarter circle

We get,

Area of shaded portion = 36 - 28.26 = 7.74 square units.