Use Polar Coordinates to Find the Area Inside the Circle $x ^ { 2 } + y ^ { 2 } = 4$

question 26

Essay

Use polar coordinates to find the area inside the circle $x ^ { 2 } + y ^ { 2 } = 4$ and to the right of the line $x = 1$ .

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Definitions:

Opioids

Substances, including morphine and heroin, that produce euphoria followed by a tranquil state; in severe intoxication, can lead to unconsciousness, coma, and seizures; can cause withdrawal symptoms of emotional distress, severe nausea, sweating, diarrhea, and fever.

Opioid Intoxication

A state resulting from the use of opioids that includes symptoms like impaired judgment, drowsiness, and often euphoria.

Vivid Dreams

Extremely clear and detailed dreams that are often remembered upon waking, potentially causing emotional distress or confusion.

Amphetamines

Synthetic substances used as drugs that stimulate the nervous system, increasing energy and alertness, and often prescribed to treat ADHD and narcolepsy.