From a copper plate,which is a square of side 12.5 cm,a circular disc of a diameter 7 is cut off.Find the weight of remaing part,if 1sq cm of the plate weighs 0.8g(Assume pie=22/7)
Answers
Answer:
Weight of the remaining part is 94.2 g.
Step-by-step explanation:
Given,
Side of the copper plate = 12.5 cm
∴ Area of the copper plate = side^2
⇒ ( 12.5 cm )^2
⇒ 156.25 cm^2
Diameter of the circular disc = 7 cm
∴ Radius of the circular disc = 7 / 2 cm
∴ Area of circular disc = πr^2
⇒ ( 22 / 7 x 7 x 7 / 4 cm^2 )
⇒ 11 x 3.5 cm^2
⇒ 38.5 cm^2
Remaining area = area of square - area of disc
⇒ 156.25 cm^2 - 38.5 cm^2
⇒ 117.75 cm^2
Weight of 1 cm^2 of plate 0.8 g
As plate & remaining part is of same material. Weight of 1 sq cm of plate = Weight of 1 sq cm of remaining part.
∴ Weight of 1 cm^2 of remaining part = 0.8 g
Weight of 117.75 cm^2 ( remaining part ) = 117.75 x 0.8 g
Weight of the remaining part = 94.2 g
refer to attachment