If a copper wire is bent in the form of a square encloses an area of 121 cm2.if the same wire is bent in the form of a circle,find the area of the cirle
Don't Spam ❌❌
Answers
Answer:
hope it's helps you army
Step-by-step explanation:
purple you
Answer:
Area of the circle is 154 cm²
Step-by-step explanation:
Given :
A copper wire is bent in the form of a square encloses an area of 121 cm²
To find :
the area of the circle if the same wire is bent in the form of a circle
Solution :
The length of the copper wire is equal to the perimeter of the square form.
Perimeter of the square = 4 × side
We have to find the side of the square.
➙ Area of the square = side × side
➙ 121 cm² = side²
➙ side² = 11²
➙ side = 11 cm
∴ The side of the square = 11 cm
➙ Perimeter of the square = 4 × side
➙ Perimeter of the square = 4 × 11 cm
➙ Perimeter of the square = 44 cm
∴ The length of the copper wire = 44 cm
If the same wire is bent in the form of a circle, the length of the copper wire is equal to the circumference of the circle.
➙ Circumference of the circle = 44 cm
➙ 2πr = 44 cm
➙ 2 × (22/7) × r = 44 cm
➙ 44r/7 = 44 cm
➙ r = 7 cm
∴ The radius of the circle is 7 cm
Area of the circle = πr²
➙ Area of the circle = (22/7) × 7²
➙ Area of the circle = 22 × 7
➙ Area of the circle = 154 cm²