# What is the maximum possible area of the rectangle that is to be inscribed in a semicircle of radius 8?

Firstly, draw the rectangle in the semicircle such that its center lies on the center of the diameter of the circle. Draw two lines from that center to the point where the rectangle intersects the arc of the semicircle.

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To find the maximum area of the rectangle inscribed in a semicircle, the rectangle's width should be equal to the semicircle's diameter, and its height should be half of the semicircle's radius.

Given the radius of the semicircle, (r = 8), the diameter is (2r = 16), and half the radius is (r/2 = 4).

Therefore, the maximum possible area of the rectangle is (16 \times 4 = \boxed{64}) square units.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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