The side of a square is equal to twice the radius of the circle. Whi

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The side of a square is equal to twice the radius of the circle. Which of them will have greater area?
[3 MARKS]

Options:

Answer: Option A
:

Formula: 2 Marks
Answer: 1 Mark
Let the side of given square be A cm

Area of the given square = $A^{2}$

Radius of the given circle = $\frac{A}{2}$ cm

Area of the circle = $(π) (\frac{A}{2})^{2}$

= $\frac{π}{4} \times (A^{2})$

= 0.785 $A^{2}$
$A^{2}$ $> 0.785$ $A^{2}$

So square has more area compared with circle

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