From a circular sheet of radius 12cm a circle of radius 9cm is removed. Find the area of the remaining sheet. (use π = 22/7)
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The area of the remaining sheet is 198 cm².
Explanation:
It is stated that,
The value of π is (22/7)
For the circular sheet,
Radius(r) = 12 cm.
∴ Area = πr²
= (22/7)×(12)²
= (22×12×12/7)
= 452.57 cm².
∴ the area of the circular sheet is 452.57 cm².
For the removed circle,
Radius(r) = 9 cm.
∴ Area = (πr²)
= (22/7) ×(9)²
=(22×9×9/7)
= 254.57 cm².
∴ The area of the removed circle is 254.57 cm².
∴ The area of the remaining sheet
= (The area of circular sheet - the area of the removed circle)
= (452.57 - 254.57) cm²
= 198.00 cm².
∴ The area of the remaining sheet is 198 cm².
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