Question

Peter and Billy are solving a math problem and they need to use $\pi$ in their calculation. Peter said $\pi$ is rational because we can write it as $\pi =\frac{22}{7}$. Billy said that $\pi$ is irrational as $\frac{22}{7}$ is its approximate value whereas the original value is 3.14159..... Who is correct?

• A. Peter
  
• B. Both are correct.
• C. Billy
• D.
  Both are incorrect.

Answer 1

The correct option is C Billy

Billy is correct as the value of $\pi$ is 3.141592653…, which is a non-terminating, non-repeating decimal. We know that non-terminating, non-repeating decimal numbers are irrational numbers.

For easier calculation, we use the approximate value of $\pi ,3.14$ or $\frac{22}{7}$.