Question

Shalini has to cut out circles of diameter 1 −14 cm

from an aluminium strip of dimensions 8−34 cm by

1 −14 cm. How many full circles can Shalini cut?

Also, calculate the wastage of the aluminium strip.​

Answer 1

Answer:

Shalini has to cut out circles of diameter 1 −14 cm

from an aluminium strip of dimensions 8−34 cm by

1 −14 cm. How many full circles can Shalini cut?

Also, calculate the wastage of the aluminium strip

Answer 2

Step-by-step explanation:

Given

d= 1 1/4 = 5/4

R= 5/8 cm

Area of circle = πr^2

= π (5/8)^2

= 25π/64 cm ^2

Area of strip = ( 8 3/4 ) × (1 1/4 )

= 35/4 × 5/4

= 175/16cm^2

= 10.9375 cm ^2

Diameter of circle = breadth of strip

of circle = Length of strip / diameter of circle

= (35/4) / (5/4)

= 7

Total area of circle = 7 × 25π / 64

= 8.590cm^2

Area wasted = Strip area - Total area of circles

= 2.343 cm ^2

Hope it helps you