A round 12-inch woofer is mounted to the bottom of a rectangular speaker enclosure with an inner width measurement of 12 inches. How far from corner A is the center, O, of the woofer?
To find the distance from corner A to the center of the woofer, we can use basic geometry principles.
Let's draw a sketch of the rectangular speaker enclosure. Label corner A as the starting point and O as the center of the woofer.
A _________________________________________
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| _________ |
| | O |
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|________|______|_____________|
In the diagram, we can see that the woofer is mounted at point X, which is in the center of the enclosure. We need to find the distance from corner A to point X.
Since the inner width of the enclosure is given as 12 inches, we know that the distance from corner A to point X will be half the width of the enclosure. Therefore, to find the distance, we'll divide the width measurement by 2.
So, the distance from corner A to the center O of the woofer is:
Distance = Width / 2
Distance = 12 inches / 2
Distance = 6 inches
Hence, the distance from corner A to the center O of the woofer is 6 inches.