1. **Problem:** Find the area of each circle in terms of $\pi$. The formula for the area of a circle is:
$$\text{Area} = \pi r^2$$
where $r$ is the radius of the circle.
2. **Important rule:** If the problem gives the diameter $d$, remember that the radius $r$ is half the diameter:
$$r = \frac{d}{2}$$
3. **Calculations:**
- Circle 1: radius $r = 16$ ft
$$\text{Area} = \pi (16)^2 = 256\pi \text{ ft}^2$$
- Circle 2: radius $r = 12$ in
$$\text{Area} = \pi (12)^2 = 144\pi \text{ in}^2$$
- Circle 3: diameter $d = 6$ yd, so radius $r = \frac{6}{2} = 3$ yd
$$\text{Area} = \pi (3)^2 = 9\pi \text{ yd}^2$$
- Circle 4: diameter $d = 10$ yd, so radius $r = \frac{10}{2} = 5$ yd
$$\text{Area} = \pi (5)^2 = 25\pi \text{ yd}^2$$
- Circle 5: diameter $d = 10$ ft, so radius $r = \frac{10}{2} = 5$ ft
$$\text{Area} = \pi (5)^2 = 25\pi \text{ ft}^2$$
- Circle 6: diameter $d = 7$ in, so radius $r = \frac{7}{2} = 3.5$ in
$$\text{Area} = \pi (3.5)^2 = 12.25\pi \text{ in}^2$$
4. **Question 7:** Radius $r = 4$ in
$$\text{Area} = \pi (4)^2 = 16\pi \text{ in}^2$$
The correct answer is **c) 16\pi in²**.
5. **Question 8:** Diameter $d = 32$ yd, radius $r = \frac{32}{2} = 16$ yd
$$\text{Area} = \pi (16)^2 = 256\pi \text{ yd}^2$$
The correct answer is **d) 256\pi yd²**.
6. **Question 9:** Diameter of pizza $d = 26$ in, radius $r = \frac{26}{2} = 13$ in
$$\text{Area} = \pi (13)^2 = 169\pi \text{ in}^2$$
**Final answers:**
1) $256\pi$ ft²
2) $144\pi$ in²
3) $9\pi$ yd²
4) $25\pi$ yd²
5) $25\pi$ ft²
6) $12.25\pi$ in²
7) $16\pi$ in² (option c)
8) $256\pi$ yd² (option d)
9) $169\pi$ in²
Circle Area 5Ffbb0
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