Question

Think About the Process The circumference of one coin is 7.28 cm. The circumference of another coin is 0.49 cm smaller. What is the first step to find the diameter of the

smaller coin? What is the diameter of the smaller coin? Use 3.14 for x.
What is the first step to find the diameter of the smaller coin?
OA. Find the radius of the smaller coin.
B. Find the circumference of the larger coin.
c. Find the circumference of the smaller coin.
D. Find the diameter of the larger coin.
The diameter of the smaller coin is about
(Round to the nearest tenth as needed.)
cm.

Answer 1

The correct answer is option OA. Find the radius of the smaller coin.

Step-by-step explanation:

The first step to find the diameter of the smaller coin is to find the radius of the smaller coin. To do this, subtract 0.49 cm from the circumference of the larger coin to find the circumference of the smaller coin. Then divide the circumference of the smaller coin by 2π (approximately 3.14) to find the radius.

Let's say the circumference of the larger coin is 7.28 cm. Subtracting 0.49 cm, we get the circumference of the smaller coin as 6.79 cm. Dividing 6.79 cm by 2π, we get the radius of the smaller coin as approximately 1.08 cm.

To find the diameter, simply multiply the radius by 2. Therefore, the diameter of the smaller coin is approximately 2.16 cm.