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) $\left.\frac{2}{4}\left[x \sqrt{16-x^{2}}\right]\right|_{-4} ^{4}$

Question

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) $\left.\frac{2}{4}\left[x \sqrt{16-x^{2}}\right]\right|_{-4} ^{4}$

Quizplus · Accepted Answer

The Answer of 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) $\left.\frac{2}{4}\left[x \sqrt{16-x^{2}}\right]\right|_{-4} ^{4}$

Consider the Semicircle of Radius 4 Pictured Below ∫−4416−x2dx\int_{-4}^{4} \sqrt{16-x^{2}} d x∫−44​16−x2​dx

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