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. ![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}](https://d2lvgg3v3hfg70.cloudfront.net/TB4204/11eb1831_d92d_beb2_88c1_739327c3a9c4_TB4204_00.jpg)
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Correct Answer:
Verified
Related Questions
Consider the semicircle of radius 4 pictured below.Which of the following could represent the area of the semicircle? Select all that apply. ![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}](https://d2lvgg3v3hfg70.cloudfront.net/TB4204/11eb1831_d92d_beb2_88c1_739327c3a9c4_TB4204_00.jpg)
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Correct Answer:
Verified