Question

Find the circumference and area of the circle having the given diameter. Use 3.14 for pi.
dequals12 cm

Answer 1

To find the circumference and area of a circle given the diameter, you can use the following formulas:

1. Circumference (C) = π × d
2. Area (A) = π × r²

where:
- \( d \) is the diameter,
- \( r \) is the radius (which equals \( \frac{d}{2} \)),
- and π (pi) is approximated as 3.14.

Given that the diameter \( d = 12 \) cm:

1. **Calculate the circumference:**
\[
C = π × d = 3.14 × 12 = 37.68 \text{ cm}
\]

2. **Calculate the radius:**
\[
r = \frac{d}{2} = \frac{12}{2} = 6 \text{ cm}
\]

3. **Calculate the area:**
\[
A = π × r² = 3.14 × (6)² = 3.14 × 36 = 113.04 \text{ cm}²
\]

Therefore, the circumference of the circle is **37.68 cm**, and the area is **113.04 cm²**.