Question

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

Answer 1

Answer:

361 cm²

Step-by-step explanation:

Hi,

Given a rectangular acrylic sheet of dimensions 36 cm by 25 cm

=> Area of rectangular sheet = 36 * 25 = 900 cm².

Given that 56 circular buttons each of diameter 3.5 cm have been cut,

Area of each circular button = πd²/4 where d is the diameter

=> Area of each circular button = 22/7*49/4*1/4

= 77/8 = 9.645 cm²

Area of 56 circular buttons would be 56*9.645 = 539 cm².

Hence Area of the remaining sheet = Area of rectangular sheet - Area of 56 circular buttons

= 900 - 539

=361 cm²

Hope, it helped !