A circle has a circumference of 44 cm. Calculate its area. Use pi = 22/7.

The circumference ($C$) of a circle is given by the formula $C = 2\pi r$.
We are given $C = 44 \text{ cm}$ and $\pi = \frac{22}{7}$.

$$44 = 2 \times \frac{22}{7} \times r$$ $$44 = \frac{44}{7} r$$

To solve for $r$, multiply both sides by $\frac{7}{44}$:

$$r = 44 \times \frac{7}{44}$$ $$r = 7 \text{ cm}$$

The area of a circle is given by the formula $A = \pi r^2$.
Substitute $r = 7 \text{ cm}$ and $\pi = \frac{22}{7}$:

$$A = \frac{22}{7} \times (7 \text{ cm})^2$$ $$A = \frac{22}{7} \times 49 \text{ cm}^2$$ $$A = 22 \times \frac{49}{7} \text{ cm}^2$$ $$A = 22 \times 7 \text{ cm}^2$$ $$A = 154 \text{ cm}^2$$

The area of the circle is $\text{154 cm}^2$.