A rectangular sheet of acrylic is 34cm by 24cm. From it, 64 circular buttons, each of diameter 3.5cm, have been cut out.Find the area of the remaining sheet.
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Answered by
304
Heya
Here goes your answer
Area of the rectangular sheet = length×breadth
= 34×24
= 816cm²
Area of each button = πr²
= 22/7 × 3.5/2 × 3.5/2
= 9.625cm²
Area of 64 buttons = 64×9.625 = 616cm²
Area of the remaining sheet = area of the sheet - area of 64 buttons
= 816 - 616
= 200cm²
Hope it helps!
Here goes your answer
Area of the rectangular sheet = length×breadth
= 34×24
= 816cm²
Area of each button = πr²
= 22/7 × 3.5/2 × 3.5/2
= 9.625cm²
Area of 64 buttons = 64×9.625 = 616cm²
Area of the remaining sheet = area of the sheet - area of 64 buttons
= 816 - 616
= 200cm²
Hope it helps!
wvaish:
Mark it as the brainliest if it helped! ^_^
Answered by
17
Given:
The dimensions of the rectangular sheet of arcylic = 34cm × 24 cm
The number of circular buttons cut out from the sheet = 64
The diameter of the circular buttons = 3.5 cm
To find:
The area of the remaining sheet.
Solution:
We know that the area of the rectangular sheet = length×breadth
On substituting the values, we get:
= 34×24
= 816 cm²
Now, let us find the area of a single circular button.
Area of each button = πr²
= 22/7 × (3.5/2)²
= 9.625 cm²
Area of all 64 buttons = 64×9.625 = 616cm²
Thus, the area of the remaining sheet will be = area of the sheet - area of 64 buttons
= 816 - 616 cm²
= 200 cm²
Thus, the area of the remaining sheet will be 200 cm².
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