https://file.aiquickdraw.com/mathbot/file/1727117908603cwtrzceb.jpg

The image shows a circle with a radius of 9 cm, and you are tasked with finding the circumference and area of the circle. Here's how we can solve both problems:

### Question 8: Find the Circumference
The formula for the circumference \( C \) of a circle is:

\[
C = 2 \pi r
\]

Where:
- \( \pi \approx 3.14 \) (as given),
- \( r = 9 \) cm.

Substitute the values:

\[
C = 2 \times 3.14 \times 9 = 56.52 \, \text{cm}
\]

So, the circumference is **56.52 cm**.

---

### Question 9: Find the Area
The formula for the area \( A \) of a circle is:

\[
A = \pi r^2
\]

Substitute the values:

\[
A = 3.14 \times (9)^2 = 3.14 \times 81 = 254.34 \, \text{cm}^2
\]

So, the area is **254.34 cm²**.

---

Do you want further details or have any questions?

Here are 5 related questions for practice:
1. What would the circumference be if the radius were 12 cm?
2. How does the area of the circle change if the radius is doubled?
3. What is the formula for the diameter of a circle, and how can it help in finding the circumference?
4. How would you find the radius if you only knew the circumference?
5. How can you calculate the area if you are given the diameter instead of the radius?

**Tip:** Always double-check the units you're working with, especially for area and circumference!

Use the following figure for the next 2 questions: Find the circumference and area of a circle with a radius of 9 cm.

Learn how to calculate the circumference and area of a circle with a radius of 9 cm. The solution covers essential geometric concepts and applies the formulas for circumference (C = 2πr) and area (A = πr^2). Suitable for Grades 6-8 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation