Question

Find the area of the shaded region in the given figure

Answer 1

Answer:

126 cm²

Step-by-step explanation:

To find Area of Shaded region

We can see semi circles are identical as Radius = 7 cm

so both Shaded region will make one semi circle

Area of Semicircle = (1/2) Pie R²

= (1/2) (22/7) × 7²

= 11 × 7

= 77 cm²

Triangle is one fourth part of Square

So area of Shaded triangle = (1/4) Area of Square

= (1/4) × 14²

= 49 cm²

Total Shades Area region = 77 + 49 = 126 cm²

Answer 2

Answer: 126 cm

Step-by-step explanation:

In this figure we can clearly see that there are two semi circle and one square with diagonals so they making four triangles and one part of it shaded.

Note- 1- first we will find the area of semicircle shaded part.

           2- We will find area of triangle shaded part.

           3- Then find total area of shaded part by adding these two.

Step- 1- Two semi circle can make a circle so Area of circle= ᴨr (square), where (ᴨ=22/7)

                r = 7cm (given) but shaded part making a semicircle so we use the formula  

                Area of semicircle = ½ ᴨr (square)

                                                      ½ *22/7*7*7    (r =7) and (ᴨ = 22/7)

                Area of semicircle = 77 cm square (shaded part)

Step-2- Now we will find the area of triangle (shaded part)

Area of triangle = ¼ Area of square (because there are four triangles in square)

So, Area of triangle shaded part = ¼ *side*side (side = 14cm given)

                                                               ¼*14*14 = 49 cm square

Step-3- Total shaded part = Area of semicircle + Area of triangle shaded part

                                                        77 + 49 = 126 cm square (Answer)