Question

a rectangular sheet of acrylic is 34 CM by 24 cm from it 64 circular buttons each of diameter 3.5 CM have been cut out find the area of remaining sheet

Answer 1

Answer:

Area of rectangle = L × B

∴ Area of rectangle = 34 × 24

                                = 816

∴ Area of rectangle = 816 cm² ---------- (1)

Now, Diameter of each circular button is 3.5 cm

∴ It's radius is r = 3.5/2 = 1.75 cm

∴ Area of 1 circular button = πr²

∴ Area of 1 circular button = 3.14 × 1.75 × 1.75

∴ Area of 1 circular button = 9.616 cm²

There are 64 such circular buttons

∴ Area of 64 circular buttons = 64 × 9.616 cm²

∴ Area of 64 circular buttons = 615.44 cm² -------------(2)

∴ Area of remaining sheet = Area of rectangle - Area of 64 circular buttons

                                            = 816 - 615.44

∴ Area of remaining sheet  = 200.56 cm²

Step-by-step explanation: