Question

nilabh has to cut out circles of diameter
$1 \times \frac{1}{4}$
cm from an aluminum strip of dimensions
$8 \times \frac{3}{4}$
cm by
$1 \times \frac{1}{4}$
cm . how many full circles will nilabh cut ? also find the wastage of the aluminium strip.​

Answer 1

Answer:

array bhaii questions seedhay post karo na.

Answer 2

Diameter of the circle = Breadth of the aluminium strip 1¼ cm = 5/4 cm Length of aluminium strip = 8¾ cm = 35/4 cm ∴The number of full circles cut from the aluminum strip = (35/4) ÷ (5/4) = (35/4) × (4/5) = (7/1) × (1/1) = 7 circles Radius of circle = (5/ (4 × 2)) = 5/8 cm Area to be cut by one circle = πr2 = (22/7) × (5/8)2 = (22/7) × (25/64) cm2 Now, area to be cut by 7 full circles = 7 × (22/7) × (25/64) = (22 × 25)/64 = 550/64 cm2 Area of the aluminum strip = length × breadth = (35/4) × (5/4) cm2 = (175/16) cm2 ∴The wastage of aluminum strip = (175/16) – (550/64) = (700 – 550)/64 = 150/64 = 75/32 cm2