A rectangular acrylic sheet is 36 cm by 25 cm. From it, 56 circular bu

1.	A rectangular acrylic sheet is 36 cm by 25 cm. From it, 56 circular buttons, each of diameter 3.5 cm have been cut out. Find the area of the remaining sheet.
Answer» The dimensions of a rectangular acrylic sheet = 36 cm × 25 cm. ∴ Its area = l × b = 36 × 25 = 900 sq.cm The diameter of a circular button = 3.5 cm radius = r = d/2 = 3.5/2 = 1.75 cm. ∴ Area of each button = πr² = 22/7 × (1.75)² = 22/7 × 1.75 × 1.75 = 9.625 sq.cm. The area of 56 such buttons = 56 × 9.625 = 539 sq.cm. ∴ The area of remaining sheet = Area of a rectangular sheet – Area of 56 buttons = 900 – 539 = 361 sq.cm

A rectangular acrylic sheet is 36 cm by 25 cm. From it, 56 circular buttons, each of diameter 3.5 cm have been cut out. Find the area of the remaining sheet.

Answer»

The dimensions of a rectangular acrylic sheet = 36 cm × 25 cm.

∴ Its area = l × b

= 36 × 25 = 900 sq.cm

The diameter of a circular button = 3.5 cm

radius = r = d/2 = 3.5/2 = 1.75 cm.

∴ Area of each button = πr²

= 22/7 × (1.75)²

= 22/7 × 1.75 × 1.75

= 9.625 sq.cm.

The area of 56 such buttons = 56 × 9.625 = 539 sq.cm.

∴ The area of remaining sheet

= Area of a rectangular sheet – Area of 56 buttons

= 900 – 539

= 361 sq.cm