To calculate the speaker coverage area:
\[ \text{CA} = \pi \times \left(\frac{D}{2}\right)^2 \times \frac{H}{360} \]
Where:
Speaker coverage refers to the area or space in which the sound from a speaker can be heard clearly and at an optimal level. It is determined by the design and power of the speaker, the acoustics of the room, and the placement of the speaker. Understanding speaker coverage is important in settings like conference rooms, theaters, or any public venues to ensure that the audio reaches all areas of the space effectively.
Assume the following:
**Step 1:** Calculate the radius:
\[ \text{Radius} = \frac{1}{2} = 0.5 \text{ meters} \]
**Step 2:** Calculate the coverage area:
\[ \text{CA} = \pi \times (0.5)^2 \times \frac{90}{360} = \pi \times 0.25 \times 0.25 = 0.196 \text{ square meters} \]
The speaker coverage area is approximately 0.196 square meters.
Assume the following:
**Step 1:** Calculate the radius:
\[ \text{Radius} = \frac{2}{2} = 1 \text{ meter} \]
**Step 2:** Calculate the coverage area:
\[ \text{CA} = \pi \times (1)^2 \times \frac{120}{360} = \pi \times 1 \times \frac{1}{3} = 1.047 \text{ square meters} \]
The speaker coverage area is approximately 1.047 square meters.
