Question

Circumference and Area of Circles quick check connexus

Answer 1

To determine the circumference and area of a circle, you can use the following formulas:

1. **Circumference (C)**:
\[
C = 2\pi r
\]
or
\[
C = \pi d
\]
where \( r \) is the radius and \( d \) is the diameter of the circle (with \( d = 2r \)).

2. **Area (A)**:
\[
A = \pi r^2
\]

### Example Calculation
- If the radius of a circle is 5 units:
- **Circumference**:
\[
C = 2\pi(5) = 10\pi \Approx 31.42 \text{ units}
\]
- **Area**:
\[
A = \pi(5^2) = 25\pi \Approx 78.54 \text{ square units}
\]

### Quick Check
- Ensure you can:
- Identify the radius and diameter
- Apply the appropriate formulas correctly
- Convert numerical answers from terms of \(\pi\) to decimal approximation if needed.

Feel free to ask for help with specific problems related to this topic!