Question

A wire is in the form of a square of side 27.5 cm, it is straightened and bent into a shape of a circle, find the area of the circle

Answer 1

Answer:

The area of the circle is 962.5 cm².

Step-by-step explanation:

The side of the square formed using a wire is 27.5 cm.

The length of the wire = Perimeter of the square

                                  $l=4\times side\\=4\times27.5\\=110$

Now if a circle is formed using the wire then,

Circumference of circle = Perimeter of square

                                $2\pi r=110\\r=110\times \frac{1}{2\pi} \\=17.5$

The radius of the circle is 17.5 cm.

Compute the area of the circle is:

$Area=\pi r^{2}\\=\frac{22}{7}\times (17.5)^{2}\\ =962.5$

Thus, the area of the circle is 962.5 cm².

Answer 2

Answer:

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