Question

$\large\mathbf{HEY\: QUESTION❤}$


In the figure, PSR, RTQ and PAQ are three semicircles of diameters 10 cm, 3 cm and 7 cm respectively. Find the perimeter of the shaded region. [Use π = 3.14]


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★ REQUIRED FULL EXPLANATION ANSWER​

Answer 1

Answer:

Radius of semicircle PSR = 10cm/2 = 5cm

Radius of semicircle PAQ = 7cm/2 = 3.5cm

Radius of semicircle RTQ = 3cm/2 = 1.5cm

Perimeter of shaded region = perimeter of semicircle PSR + perimeter of semicircle RTQ + perimeter of semicircle PAQ

And we know that perimeter of a semicircle =π×r

Required perimeter =π×5cm+15×1.5cm+π×3.5cm

=3.14(5cm+1.5cm+3.5cm)

=3.14X10cm=31.4cm

Step-by-step explanation:

$Hope \: it \: helps...!!$

Answer 2

Heya!!

Here is your answer -

Given :  

Diameter of  semicircle PSR = 10 cm

Diameter of  semicircle RTQ = 3 cm

Diameter of  semicircle PAQ = 7 cm

Radius of  semicircle PSR , r1 = 10/2 = 5 cm

Radius of  semicircle RTQ, r2 = 3 cm  = 3/2 cm

Radius of  semicircle PAQ, r3 = 7/2 cm

Perimeter of the shaded region = Length of the arc PAQ + Length of the arc PSR + Length of the arc RTQ

= πr1 + πr2 + πr3

= π(r1 + r2 + r3)

= π(5 + 3/2 + 7/2)

= π{(10 + 3 + 7)/2}

= π × 20/2  

= 10 π

= 10 × 22/7

= 10 × 3.14

= 31.4 cm

Perimeter of the shaded region = 31.4 cm

Hence, the perimeter of the shaded region is 31.4 cm