Officer Aptitude Rating (OAR) Test 2025 – 400 Free Practice Questions to Pass the Exam

The area of a circle is calculated using the formula \( \pi \times (r^2) \), where \( r \) represents the radius of the circle. This formula captures the relationship between the radius and the space contained within the circle.

The reasoning behind this formula stems from the concept of calculating area, which involves measuring the space inside a two-dimensional shape. For a circle, the area grows with the square of the radius, as each incremental increase in the radius results in a larger surface area that is proportional to the square of that radius. Thus, if you were to double the radius, the area doesn't just double; it actually increases by a factor of four.

Other choices do not represent the area of a circle. The formula \( 2 \times \pi \times r \) calculates the circumference, which is the distance around the circle. The formula \( \pi \times r \) doesn’t represent the area or the circumference but suggests a linear measure. Finally, \( r \times 2 \) simply doubles the radius and doesn’t pertain to the concepts of area or circumference either. Overall, \( \pi \times (r^2) \) effectively provides the accurate measure of the space within a