a circular wire of radius 7cm transform into square. find the area enclose by square
Answers
Answer:
a circular wire of radius 7 cm is 44 cm long, using 2πr. Thus the perimeter of the square will also be 44cm. side of square = 44/4 = 11 cm. Area of square is sq. of side of the square. AREA OF SQUARE = 11*11 =121.
Answer:
The area enclosed by the square is 121 cm².
Step-by-step explanation:
Assumption,
Let the side of the square formed be 's'.
Given,
The radius of the circular wire (R) = 7 cm.
To find,
the area enclosed by the square (A).
Calculation,
Step (1): First we calculate the perimeter of the circular wire taken:
The perimeter of wire (p) = 2 × π × R
⇒ p = 2 × π × 7 cm
⇒ p = 44 cm
Step (2): As this circular wire has transformed into a square, then:
The perimeter of square (P) = The perimeter of circular wire(p)
⇒ P = 44 cm
⇒ 4 × S = 44 cm (since P = 4S)
⇒ S = 11 cm.
Step (3): At last we can find the area of the square with the help of side length.
i.e. Area of square (A) = S²
⇒ A = 11²
⇒ A = 121 cm²
Therefore, the area enclosed by the square is 121 cm².
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