Question

name:

1. vocabulary how are the circumference and diameter of a circle related? lesson 7-1 7.gr.1.3

mid - topic checkpoint
topic 7

Explanation:

To determine the relationship between the circumference (\(C\)) and diameter (\(d\)) of a circle, we use the formula for the circumference of a circle.

Step 1: Recall the formula for the circumference of a circle

The formula that relates the circumference and the diameter of a circle is:
$$C = \pi d$$

Step 2: Interpret the relationship

From the formula \(C = \pi d\), we can see that the circumference of a circle is directly proportional to its diameter. The constant of proportionality is \(\pi\) (pi), which is approximately \(3.14\) or \(\frac{22}{7}\). This means that if we know the diameter of a circle, we can find its circumference by multiplying the diameter by \(\pi\), and vice versa (if we know the circumference, we can find the diameter by dividing the circumference by \(\pi\)).

Answer:

The circumference (\(C\)) of a circle is related to its diameter (\(d\)) by the formula \( \boldsymbol{C = \pi d} \), where \(\pi\) (pi, approximately \(3.14\)) is the constant of proportionality. In other words, the circumference is \(\pi\) times the diameter.