Find the Area of a Sector of a Circle Having $$\theta$$

question 174

Multiple Choice

Find the area of a sector of a circle having radius r and central angle $$\theta$$ . If necessary, express the answer to the nearest
tenth.
-What is the difference in area covered by a single 5 -inch windshield wiper operating with a central angle of $139 ^ { \circ }$ compared to a pair of 5 -inch wipers operating together each having a central angle of $108 ^ { \circ }$ ? Round to the nearest hundredth.

• A) \(77.45\) in. \(^ { 2 }\)
• B) \(16.80\) in. \(^ { 2 }\)
• C) \(6.76\) in. \(^ { 2 }\)
• D) \(21.80\) in. \(^ { 2 }\)

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Definitions:

Cocaine

A powerful stimulant drug derived from the leaves of the coca plant, often used recreationally and known for its abuse potential.

Alcohol

A psychoactive substance found in drinks such as beer, wine, and spirits, capable of altering mood and behavior.

Heroin

An opioid drug made from morphine, a natural substance taken from the seed pod of the various opium poppy plants, known for its addictive properties and illegal status in many countries.

Depressants

A category of drugs that reduce the functioning of the nervous system, often prescribed to relieve anxiety, induce sleep, or manage seizures.