A circle of radius 7cm is cut out from a square piece of an aluminium sheet of side14cm.What is the area of the left over aluminium sheet?(Takeπ=22/7)
please ans me it's urgent
Answers
Answer:
32cm²
Step-by-step explanation:
given:-
Radius of circle (r) = 7cm
Area = πr² = 22/7×7² = 22×7 = 154cm²
Side of square (s) = 14cm
Area = s×s = 14×14 = 196cm²
Area of left out aluminium sheet = area of square - area of circle
A = 196-154 = 32cm²
The area of the leftover aluminium sheet is 42 cm².
Given : A circle of radius 7cm is cut out from a square piece of an aluminium sheet of side 14cm. (π should be taken as 22/7)
To find : The area of the leftover aluminium sheet.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the area of the leftover aluminium sheet)
The area of the square aluminium sheet :
= (side)²
= (14)² cm²
= 196 cm²
The area of circular cutout :
= π × (radius)²
= [(22/7) × (7)²] cm²
= 154 cm²
The area of the leftover aluminium sheet :
= The area of the square aluminium sheet - The area of circular cutout
= (196-154) cm²
= 42 cm²
Hence, the area of the leftover aluminium sheet is 42 cm².