Question

Paul is making two ceramic plates in his pottery class. One plate has a 20-centimeter diameter and a 62.8-centimeter circumference. A smaller plate has a radius of 5 centimeters. What is its circumference?

a) 20 cm
b) 31.4 cm
c) 10 cm
d) 15.7 cm

Answer 1

The circumference of the smaller plate with a 5 cm radius is calculated using the formula C = 2πr, which results in approximately 31.4 cm.

Step-by-step explanation:

The question is asking for the circumference of a smaller plate with a radius of 5 centimeters. To find the circumference of a circle (which applies to circular plates as well), the formula C = 2πr is used, where C denotes circumference, π (pi) is approximately 3.14159, and r is the radius of the circle.

Using the given radius (5 cm), we calculate the circumference as follows:

C = 2π(5 cm) = 2(3.14159)(5 cm) ≈ 31.416 cm

Therefore, the closest answer and the correct choice among the options provided would be: b) 31.4 cm.