Using pi = 22/7, the area of a circle with radius 7 is 154 square units. Which option lists a plausible set of distractors?

Using pi = 22/7, the area of a circle with radius 7 is 154 square units. Which option lists a plausible set of distractors?

• A. 152
• B. 156
• C. 154
• D. 158

Answer: (C)

Using the area formula A = pi r^2, plug in r = 7 and pi = 22/7. A = (22/7) * 7^2 = (22/7) * 49 = 7 * 22 = 154. So the area is 154 square units. The nearby numbers 152, 156, and 158 look plausible as distractors because small arithmetic slips or different rounding of pi can nudge the result a bit, but with the given pi value the exact result is 154.

Using the area formula A = pi r^2, plug in r = 7 and pi = 22/7. A = (22/7) * 7^2 = (22/7) * 49 = 7 * 22 = 154. So the area is 154 square units. The nearby numbers 152, 156, and 158 look plausible as distractors because small arithmetic slips or different rounding of pi can nudge the result a bit, but with the given pi value the exact result is 154.