Question

a point is shown on the number line.
which expression could the point represent?
a. $2\pi$
b. $\pi - 1$
c. $\pi + 1$
d. $3\pi$

Explanation:

Step1: Recall value of $\pi$

We know $\pi \approx 3.14$

Step2: Calculate each option

Option A: $2\pi \approx 2\times3.14 = 6.28$

Option B: $\pi - 1 \approx 3.14 - 1 = 2.14$

Option C: $\pi + 1 \approx 3.14 + 1 = 4.14$

Option D: $3\pi \approx 3\times3.14 = 9.42$

Step3: Match to number line

The point is just right of 4, so it matches the value of Option C.

Answer:

C. $\pi + 1$