Question

in Fig. 14.22, find the area of the shaded region. [Use π= 3.14.]

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Answer 1

The area of the shaded region is 72.665 cm².

To find : Area of the shaded region.

Given :

From the figure,

AB = 12 m

AD = 5 m

$\pi$ = 3.14

Formula :

Area of circle = $\pi$r²

Area of rectangle = length × breadth        

To find the area of rectangle :

Area of rectangle, ABCD = length × breadth                                          

                 Length = 12 m  ; Breadth = 5 m

Area of rectangle = 12 × 5 = 60 m.

To find area of circle :

To find radius of the circle, by using pythagoras theorem

Let the diameter be diagonal BD.

BD² = AB² + AD²

      = (12)² + (5)²

      = 144 + 25

BD² = 169

BD = $\sqrt{169}$

BD = 13.

Radius = $\frac{Diameter}{2}$ $=\frac{13}{2}$ $=6.5$

Area of circle = $\pi$r² = $\pi \times$ $6.5 \times6.5$

Area of circle = 42.25$\pi$ cm²

To find the area of the shaded region :

Area of shaded region = Area of circle - Area of rectangle

                                      = (42.25 × 3.14) - 60    (π = 3.14)

                                      = 132.665 - 60

                                      = 72.665 cm²

Therefore, the area of the shaded region is 72.665 cm².

     

To learn more...

1. In fig., find the area of shaded region (Use π = 3.14)

brainly.in/question/2806097

2. Find the area of the shaded region.  (Use π = 3.14)

brainly.in/question/1850287

Answer 2

Answer:

72.665 cm²

Step-by-step explanation:

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