For items \( 39-47 \) refer to the figure on the right. \( \odot Q \) has a radius of 7 units and \( \odot T \) has a radius of 4 units. value. 39. \( P S=14 \) Units 40. \( R U=8 \) units
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Extra Insights
When working with circles, it’s essential to remember that the radius is the distance from the center to any point on the circle. In this case, the \( \odot Q \) with a radius of 7 units has a diameter of 14 units, and similarly, the \( \odot T \) with a radius of 4 units has a diameter of 8 units. Understanding these concepts lays the foundation for solving various geometric problems involving circles. Imagining circles in real-world contexts can help to visualize and apply these mathematical principles. For example, if you picture \( \odot Q \) as a large pizza and \( \odot T \) as a smaller one, you can intuitively grasp the differences in size. This can also come in handy when trying to determine how many smaller pizzas fit on a table next to the larger one!
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