Question

circle A has a diameter of one foot. Circle B has a circumfrence of 1 meter. Which circle is bigger? Explain you reasoning. (1 inch = 2.54 centimeters)

Answer 1

B

Explanation:

You want to know whether circle A with a diameter of 1 foot is larger or smaller than circle B with a circumference of 1 meter.

Circumference

The circumference of circle A is ...

C = πd

C = π(1 ft) = π(1 ft)×(0.3048 m)/(1 ft) = π(0.3048 m) ≈ 0.9576 m

The circle with a circumference of 1 m (circle B) is larger than the one with a circumference of 0.9576 m (circle A).