Question

find the area of the circle whose circumference is same as the perimeter of a square of side 44cm​

Answer 1

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Answer 2

Answer:

The area of a circle whose circumference is the same as the perimeter of a square of side 44cm is $2461.7cm^{2}$

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 $a=44cm$

⇒ the perimeter of the square is $P=4*44=176cm$

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

⇒$4a=2\pi r$

⇒

$176=2\pi r\\r=176/2\pi =28.02cm$

now the area of the circle $\pi *28^{2} =2461.7cm^{2}$