Question

Find the area of a circle whose circumfrence is the same as the perimeter of a square o


f side 11 cm

Answer 1

Answer:

The area of the circle is 154 cm^2.

Step-by-step explanation:

Given,

Side of the square = 11 cm

Perimeter of the square = 4 x side

∴ Perimeter of the given square = 4 x 11 cm

= > Perimeter of the given square = 44 cm

According to the question :

= > Perimeter of the square = circumference of the circle

= > 44 cm = Circumference of the circle

= > 44 cm = 2πr

= > 44 cm = 2x$\dfrac{22}{7}$x r

= > 44 cm = $\dfrac{44}{7}$x r

= > 7 cm = r

Area of the circle = πr^2

  ⇒ $\dfrac{22}{7}$x 7 x 7 cm^2

  ⇒ 22 x 7 cm^2

  ⇒ 154 cm^2

Therefore the area of the circle is 154 cm^2.

Answer 2

hey mate
refer to attachment