Comparing Areas of a Circle and Square

Medium Quantitative Comparisons Geometry Comparisons

Consider a circle with a radius of 4 units and a square with a side length of 8 units.

Calculate the area of both shapes and determine which has a greater area. The formula for the area of a circle is given by:

$$A =\frac{1}{2} imes ext{radius}^2 \ A_{circle} =\frac{22}{7} imes radius^2$$

and the formula for the area of a square is:

$$A = ext{side} imes ext{side}$$

The area of the circle is greater than the area of the square.

The area of the square is greater than the area of the circle.

The areas of the circle and the square are equal.

There is insufficient information to determine the relationship.

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