Question

find the area of a circle whose circumference is same as the perimeter of a square of side 88 CM

Answer 1

side of a square =22 CM
perimeter of square= 88 CM
circumference of circle= perimeter of square
2πr=88cm
2×22/7×r=88cm
44/7×r=88cm
r=88×7/44
r=14cm
area of circle=π×r×r
22/7×14×14=44×4
176cm square

Answer 2

Answer:

The area of a circle whose circumference is the same as the perimeter of a square of side 88cm is $9847cm^{2}$

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 $a=88cm$

⇒ the perimeter of the square is $P=4*88=352cm$

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

⇒$4a=2\pi r$

⇒

$352=2\pi r\\r=352/2\pi =56.05cm$

now the area of the circle $\pi *56^{2} =9847cm^{2}$