Math, asked by MarJaaKutte, 1 year ago

find the perimeter of the following shapes to 1 Decimal Place. Take π= 3.14.
Please solve Question 9 part 3 and 4

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Answered by Anonymous
29

Figure 1

radius of both circles = 16 cm / 2

                                   = 8 cm

Perimeter of the figure = Circumference of 2 semicircles + 2 Breadth of the rectangles

                                       = 2 × 1 / 2 × 2 π r + 2 × 3 cm

                                       = 2 π r + 6 cm

                                       = 2 × 3.14 × 8 cm + 6 cm

                                       = 50.24 cm + 6 cm

                                       = 56.24 cm

Perimeter is 56.24 cm

Figure 2


Radius of big semi circle = 8 cm/2

                                         = 4 cm

Radius of small semi - circle = 4 cm / 2

                                               = 2 cm

Perimeter = 4 cm + 3 cm + 3 cm + circumference of the small semicircle + circumference of big semi circle.

= 10 cm + 1/2 × 2 π r + 1/2 × 2 π r

= 10 cm + 3.14 × r + 3.14 × r

= 10 cm + 3.14 × 4 + 3.14 × 2

= 10 cm + 12.56 + 6.28

= 28.84


The perimeter is 28.84 cm


Hope it helps ^__^

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MarJaaKutte: ^_^
Answered by Anonymous
15
in figure 1st

radius of both circles = 16 cm / 2

                                   = 8 cm

Perimeter of the figure = ( Circumference of 2 semicircles ) + 2 (Breadth of the rectangles)

                                       =( 2 × 1 / 2 × 2 π r) + (2 × 3) cm

                                       = (2 π r + 6 )cm

                                       =( 2 × 3.14 × 8 + 6) cm

                                       = (50.24 + 6) cm

                                       = 56.24 cm

Perimeter is 56.24 cm

now in figure 2

Radius of big semi circle = 8/2 cm

                                         = 4 cm

Radius of small semi circle = 4 cm / 2

                                               = 2 cm

Perimeter = 4 cm + 3 cm + 3 cm + (circumference of the small semicircle) + (circumference of big semi circle.)

= [10 + ( 1/2 × 2 π r ) + (1/2 × 2 π r) ] cm

= [10 + 3.14 × r + 3.14 × r] cm

= [10 + 3.14 × 4 + 3.14 × 2] cm

= [10 + 12.56 + 6.28] cm

= 28.84 cm


hence, answer is 28.84 cm


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