GU7.Quiz Review - Circles
Question 4 of (1) point) | Question Attempt 1 of Unlimited
(a) Use the measurements above and the calculator to fill in the blanks. Write each answer as a single decimal. Do not round,

Circle 1:
Circumference
Diameter

Circle 2:
Circumference
Diameter

Circle 3:
Circumference
Diameter
(b) Let represent the circumference of any circle and represent the diameter. Using the fact that is approximately 3.14 , which formula seems reasonable?

© Write a formula that relates the circumference, , of a circle to its diameter, .

Ask by Pena Lang. in the United States

Jan 23,2025

Question

GU7.Quiz Review - Circles
Question 4 of (1) point) | Question Attempt 1 of Unlimited
(a) Use the measurements above and the calculator to fill in the blanks. Write each answer as a single decimal. Do not round,

Circle 1:
Circumference
Diameter

Circle 2:
Circumference
Diameter

Circle 3:
Circumference
Diameter
(b) Let represent the circumference of any circle and represent the diameter. Using the fact that is approximately 3.14 , which formula seems reasonable?

© Write a formula that relates the circumference, , of a circle to its diameter, .

Ask by Pena Lang. in the United States

Jan 23,2025

UpStudy AI · Accepted Answer

Sure, let's go through each part of your quiz question on circles.

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### **Part (b)**

**Question:**  
Let $$ C $$ represent the circumference of any circle and $$ d $$ represent the diameter. Using the fact that $$ \pi $$ is approximately 3.14, which formula seems reasonable?

**Options:**
1. $$ \frac{\pi}{C} = d $$
2. $$ \frac{d}{C} = \pi $$
3. $$ \frac{d}{\pi} = C $$
4. $$ \frac{C}{d} = \pi $$

**Answer:**  
The correct relationship between circumference $$ C $$ and diameter $$ d $$ is given by:

$$
\frac{C}{d} = \pi
$$

**Explanation:**  
This means that the circumference of a circle is $$ \pi $$ times its diameter. Therefore, the correct option is:

$$
\frac{C}{d} = \pi
$$

---

### **Part (c)**

**Question:**  
Write a formula that relates the circumference, $$ C $$, of a circle to its diameter, $$ d $$.

**Answer:**  
The formula that relates the circumference $$ C $$ to the diameter $$ d $$ is:

$$
C = \pi \times d
$$

**Explanation:**  
This formula states that the circumference of a circle is equal to $$ \pi $$ multiplied by its diameter. This is a fundamental relationship in the geometry of circles.

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### **Summary of Answers**

**Part (b):**  
$$
\frac{C}{d} = \pi
$$

**Part (c):**  
$$
C = \pi d
$$

---

If you need assistance with **Part (a)**, please provide the measurements for the three circles, and I'd be happy to help you calculate their circumferences and diameters!
**Part (b):** $$ \frac{C}{d} = \pi $$ **Part (c):** $$ C = \pi d $$

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