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 the remaining sheet.
Answers
Answer:
200cm²
Step-by-step explanation:
Length of rectangular sheet of acrylic = 34cm
breadth of rectangular sheet of acrylic = 24cm
Area of rectangular sheet of acrylic = L x b
=> 34cm x 24cm
=> 816cm²
Diameter of circular button = 3.5cm
radius = 3.5/2 = 1.75
Area of one circular button = πr²
=> 22 x (1.75)²
7
=> 22 x 3.0625
7
=> 22 x 0.4375
=> 9.625cm²
Area of 64 circular buttons = 64 x 9.625cm²
= 616cm
Area of the remaining sheet =
=> Area of rectangular sheet of acrylic - Area of 64 circular buttons
=> 816cm² - 616cm²
=> 200cm²
I hope it helps you.