Question

circular place mats of diameter 8 cm are made by stamping as many circles as possible from a rectangular strip of card measuring 8 cm by 64 CM how many mats can be made from the strip of card and what area of card is wasted?

Answer 1

Answer:

~10

Step-by-step explanation:

ar rect= ar circles *n

pi r^2 *n = l*b

n= l*b/pi *r*r

=8*64*7/22*4*4

=~10

Answer 2

8 mats can be made and 9.6 sq.cm. area of card is wasted

Step-by-step explanation:

Diameter of each circle = 8 cm

Radius of each circle = $\frac{8}{2} = 4 cm$

Area of each circle = $\pi r^2 =3.14 \times 4^2 =50.24 sq.cm.$

Length of rectangular strip = 64 cm

Breadth of rectangular strip = 8 cm

Area of strip = Length \times Breadth =$64 \times 8 =512 sq.cm.$

No. of circular stamp can be made from strip = $\frac{512}{50.24}=10.191$

So, 10 circular stamp can be made from strip

Area of 10 circular stamp =$50.24 \times 10 = 502.4 sq.cm.$

Area of wasted card = 512- 502.4=9.6 sq.cm.

Hence 8 mats can be made and 9.6 sq.cm. area of card is wasted

#Learn more:

Shalini has to cut out circles of diameter 1 1/4 cm from an aluminium strip of dimensions 8 3/4 cm by 1 1/4 cm. How many full circles can Shalini cut? Also calculate the wastage of the aluminium strip.

https://brainly.in/question/3199169