Ohio Assessments for Educators (OAE) Mathematics Practice Exam

Disable ads (and more) with a membership for a one time $2.99 payment

Prepare for the OAE Mathematics Exam. Utilize flashcards and multiple-choice questions with hints and explanations. Master your exam!

Each practice test/flash card set has 50 randomly selected questions from a bank of over 500. You'll get a new set of questions each time!

Practice this question and more.

What is the formula to calculate the area of a circle?

A = πr²
A = 2πr
A = πr/2
A = r²/π

The correct answer is: A = πr²

The formula for calculating the area of a circle is derived from the relationship between the radius and its dimensions. Specifically, the area (A) is determined using the radius (r), which is the distance from the center of the circle to its edge. The correct formula is A = πr², where π (pi) is a constant approximately equal to 3.14159. This formula captures how the area increases as the radius increases, since the radius is squared in the equation. Squaring the radius signifies that the area is not linear but rather proportional to the square of the radius, meaning a slight increase in the radius results in a significantly larger area. The other options present incorrect formulas: the second option relates to the circumference of a circle, which measures its perimeter rather than its area. The third and fourth options provide incorrect formulations that do not accurately represent the relationship needed to derive the area based on the radius. Therefore, the choice of A = πr² is foundational in geometry and essential for understanding circle measurements.