1. **State the problem:** We need to find the area of a ring-shaped region (annulus) with an inner radius of 15 ft and a width of 5 ft.
2. **Identify the radii:** The inner radius $r_i = 15$ ft.
The width of the ring is 5 ft, so the outer radius $r_o = 15 + 5 = 20$ ft.
3. **Formula for the area of an annulus:**
$$\text{Area} = \pi (r_o^2 - r_i^2)$$
This formula subtracts the area of the inner circle from the area of the outer circle.
4. **Substitute the values:**
$$\text{Area} = 3.14 \times (20^2 - 15^2)$$
5. **Calculate the squares:**
$$20^2 = 400, \quad 15^2 = 225$$
6. **Subtract the squares:**
$$400 - 225 = 175$$
7. **Calculate the area:**
$$\text{Area} = 3.14 \times 175$$
8. **Multiply:**
$$\text{Area} = 549.5$$
**Final answer:** The area of the shaded ring is $549.5$ ft$^2$.
Ring Area Ff8457
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