A circle is drawn outside the square in such a way that it passes through the vertices of square then find the circumference of circle if the side of square is 14 cm?

A22√2 cm

B44√2 cm

C11√2 cm

D88√2 cm

Answer:

According to the given question

Given:

Side of square is 14 cm

A circle is drawn outside the square in such a way that it passes through the vertices of square

Formula used:

Circumference of circle = 2 π r

Radius = $\frac{diameter}{2}$

Diagonal of square = √2 $\times$ side

Calculation:

A circle is drawn outside the square in such a way that it passes through the vertices of square

So, diagonal of square will be the diameter of circle

∴ Diameter = Diagonal of square = √2 × side = √2 × 14 = 14 √2 cm

Radius of circle = $\frac{14\sqrt{2}}{2}$ = 7 √2 cm

Now, Circumference of circle = 2 π r = $2 π\times{(7\sqrt{2})}$ = 44 √2 cm

So, Circumference of circle is 44 √2 cm

Hence, option (2) is correct

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