Final answer:
The circumference of a circle with a radius of 10 cm is calculated using the formula 2πr, resulting in 62.8318 cm, which is rounded to 63 cm to match the significant figures of the given radius.
Step-by-step explanation:
The student has asked to determine the circumference of a circle when the radius r is 10 cm. The formula for the circumference of a circle is 2πr. Given the radius (r) of 10 cm, we can calculate the circumference by substituting the numerical value of r into the formula:
Circumference = 2π(10 cm) = 20π cm
Using the value of π as approximately 3.14159, the calculation would be:
Circumference = 20 × 3.14159 = 62.8318 cm
However, because the radius was given with two significant figures, we should also express the circumference with two significant figures, which yields:
Circumference = 63 cm (rounded to two significant figures).