Solve sqrt(16-x^2) between -4 and 0

Question
Differential equations
asked 2021-02-10
Solve \(\displaystyle\sqrt{{{16}-{x}^{{2}}}}\) between -4 and 0

Answers (1)

2021-02-11
Definite integral of \(\displaystyle\sqrt{{{16}-{x}^{{2}}}}\) between -4 and 0
Okay, you are looking at half of a circle.
Diameter is 4. So radius is 2.
You are finding an area, the formula is \(\displaystyle{A}=\pi\cdot{r}^{{2}}\)
\(\displaystyle{A}=\pi{2}^{{2}}={4}\pi\)
0

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