A) Find the area of the circle b) Find the area of the minor sector AOB c) Find the area of the major sector AOB

Eneo la duara ($A$) hutolewa na fomula:

$$A = \pi r^2$$

Ambapo $r$ ni rediasi na $\pi \approx \frac{22}{7}$.

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

$$A = 22 \times 7 \text{ cm}^2$$ $$A = 154 \text{ cm}^2$$

Eneo la duara ni $\boxed{\text{154 cm}^2}$.

Eneo la sekta ($A_{sekta}$) hutolewa na fomula:

$$A_{sekta} = \frac{\theta}{360^\circ} \times \pi r^2$$

Ambapo $\theta$ ni pembe katikati ya duara, na $\pi r^2$ ni eneo la duara zima. Kutoka kwenye mchoro, $\theta = 60^\circ$ na $r = 7 \text{ cm}$.

$$A_{sekta} = \frac{60^\circ}{360^\circ} \times \frac{22}{7} \times (7 \text{ cm})^2$$ $$A_{sekta} = \frac{1}{6} \times \frac{22}{7} \times 49 \text{ cm}^2$$

$$A_{sekta} = \frac{1}{6} \times 22 \times 7 \text{ cm}^2$$ $$A_{sekta} = \frac{1}{6} \times 154 \text{ cm}^2$$ $$A_{sekta} = \frac{77}{3} \text{ cm}^2$$ $$A_{sekta} \approx 25.67 \text{ cm}^2$$

Eneo la sekta ndogo AOB ni $\boxed{\text{25.67 cm}^2}$ (kwa sehemu mbili za desimali).

$$A_{\text{sekta kubwa}} = \frac{154 \times 3 - 77}{3} \text{ cm}^2$$ $$A_{\text{sekta kubwa}} = \frac{462 - 77}{3} \text{ cm}^2$$ $$A_{\text{sekta kubwa}} = \frac{385}{3} \text{ cm}^2$$ $$A_{\text{sekta kubwa}} \approx 128.33 \text{ cm}^2$$

Eneo la sekta kubwa AOB ni $\boxed{\text{128.33 cm}^2}$ (kwa sehemu mbili za desimali).