Question

pqrs is a piece of cardboard of length 20 cm and breadth 12 cm from which four corner quarter circle of radius 2.8 cm each are removed calculate the perimeter of the remaining portion​

Answer 1

Answer:

Step-by-step explanation:

It is given that four quarters of circle are removed for the card board .

So the length of the cardboard becomes : 20-5.6= 14.4cm= p

And breadth becomes :

12-5.6 = 6.4cm=q

Length of the arcs of the quarter of the circle is

(90/360*2πr)

4(90/360*2*π*2.8)

4(1/4*44/7*2.8)

44*0.4

=> 17.6 cm

Perimeter of the cardboard with new length and new breadth is:

2(p+q) + length of the arcs.

2(14.4+6.4) + 17.6

2(20.8) + 17.6

41.6 + 17.6

=> 59.2 cm

That's all

Hope this will help you.

All the best