Question

find the area of a circle whose circumference is the same as the perimeter of a square of side 22 cm

Answer 1

so perimeter of square is 88
so 2πr=88
r=14
area is πr^2
22*14*14/7
22*2*14
616

Answer 2

Answer:

The area of a circle whose circumference is the same as the perimeter of a square of side 22cm is $615.4cm^{2}$

Step-by-step explanation:

• A square is a polygon with four equal sides

• The perimeter of a square whose side length is (a) is given by the formula

       $P=4a$

• The circumference of a circle is $2\pi r$ and the area of the circle is $\pi r^{2}$, where (r) is the radius of the circle

From the question, it is given that

the side length of the square is $a=22cm$

⇒ the perimeter of the square is $P=4*22=88cm$

the circumference of the circle is the same as the perimeter of the square

⇒$4a=2\pi r$

⇒

$88=2\pi r\\r=88/2\pi =14.01cm$

now the area of the circle $\pi *14^{2} =615.4cm^{2}$