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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:

B. 44√2 cm

Read Explanation:

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 = diameter2\frac{diameter}{2}

Diagonal of square = √2×\times side

Calculation:

image.png

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 = 1422\frac{14\sqrt{2}}{2} = 7 √2 cm

Now, Circumference of circle = 2 π r = 2π×(72)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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