(a) The center of the circle is \( \left(\frac{3}{2}, 3\right) \). (Type an ordered pair, using integers or fractions.) The radius of the circle is (Type an integer or a fractiori.)
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The center of the circle is at the point \( \left(\frac{3}{2}, 3\right) \), which means it’s located 1.5 units over on the x-axis and 3 units up on the y-axis. Imagine it as the perfect spot for a picnic on a sunny day under the shade of your favorite tree. The radius can be any positive number, representing the distance from the center of the circle to any point on its edge. For example, if you want the radius to be 2 units, you can visualize it as a lovely circle that fully encompasses the area while giving you ample space to enjoy your picnic!