The length of each side of a square is twice the radius of a circle. If the radius of the circle is 7 cm, then what is the difference between the areas of the square and the circle? [Use π = $\frac{22}{7}$]
Answer & explanation
Correct answer: option 3
We know that,
The area of a circle = πR2
Area of a square = (Side)2
We have,
The length of each side of a square = twice the radius of a circle.
The radius of the circle = 7 cm.
Side of the square = 7 × 2 = 14 cm
Area of the square = 142 = 196 cm2
Area of the circle = \(\frac{22}{7}\) × 72 = 154 cm2
So, the difference between the areas of the square and the circle = 196 - 154 = 42 cm2