Consider the Semicircle of Radius 4 Pictured Below $\int_{-4}^{4} \sqrt{16-x^{2}} d x$

question 161

Multiple Choice

Consider the semicircle of radius 4 pictured below.Which of the following could represent the area of the semicircle? Select all that apply.

• A) \(\int_{-4}^{4} \sqrt{16-x^{2}} d x\)
• B) \(\frac{1}{2} \cdot \pi \cdot 4^{2}\)
• C) \(4 \int_{-1}^{1} \sqrt{16+x^{2}} d x\)
• D) \(\left.\frac{1}{2}\left[x \sqrt{16-x^{2}}+16 \arcsin \left(\frac{x}{4}\right)\right]\right|_{-4} ^{4}\)
• E) \(\left.\frac{2}{4}\left[x \sqrt{16-x^{2}}\right]\right|_{-4} ^{4}\)

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