a wire is in a circular shape of radius 28 centimeters if it is bent ein the form of squire what will be the area of a s
quare form
Answers
Answer:
Area of the square = 1936 cm²
Step-by-step explanation:
Given :
- A wire is in a circular shape of radius 28 cm.
- It is bent in the form of a square.
To find :
the area of the square
Solution :
The length of the wire is equal to the circumference of the circle.
So, let's find the circumference of the circle first.
Circumference of the circle :
radius, r = 28 cm
➙ Circumference = 2πr
➙ Circumference = 2(22/7) × 28 cm
➙ Circumference = 44 × 4 cm
➙ Circumference = 176 cm
∴ The length of the wire is 176 cm
The wire is bent in the form of a square. Hence, the length of the wire is equal to the perimeter of the square.
Perimeter of the square :
Let side be a cm
➙ Perimeter of the square = 176 cm
➙ 4(side) = 176 cm
➙ 4a = 176 cm
➙ a = 176/4 cm
➙ a = 44 cm
we have to find the area of the square.
➙ Area of the square = (side)²
➙ Area of the square = (44 cm)²
➙ Area of the square = 1936 cm²