Sarah and Kelvin are calculating the area of a circle with a radius of 52 cm. Kelvin uses 3.14 for pi when calculating this area while Sarah uses the pi button on her calculator. Kelvin gets a solution of 8,490.56 cm2, and Sarah gets a solution of 8,494.87 cm2.

A. Both answers are equally accurate.

B. Kelvin; He did not have to round his answer.

C. Neither answer is accurate as pi or 3.14 is not in the formula for the area of a circle.

D. Sarah; The pi button on the calculator gives a more accurate representation for pi than 3.14.

Question

Mathematics

Leonard Haynes

10 May, 18:09

Sarah and Kelvin are calculating the area of a circle with a radius of 52 cm. Kelvin uses 3.14 for pi when calculating this area while Sarah uses the pi button on her calculator. Kelvin gets a solution of 8,490.56 cm2, and Sarah gets a solution of 8,494.87 cm2.

A. Both answers are equally accurate.

B. Kelvin; He did not have to round his answer.

C. Neither answer is accurate as pi or 3.14 is not in the formula for the area of a circle.

D. Sarah; The pi button on the calculator gives a more accurate representation for pi than 3.14.

+1

Answers (1)

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Alisa Meadows · Answer 1

I would say both answers are equally accurate.

The circle's radius was measured as 52 cm and NOT 52.037cm, so the answer can only be accurate to 2 significant figures.

So, the most accurate answer would be about 8,500 cm^2