Use the Given Information About a Circle to Write an Equation

question 323

Multiple Choice

Use the given information about a circle to write an equation of the circle in standard form.
-The center is $( 4 , - 1 )$ and the circle is tangent to the $x$ -axis.

• A) \(( x - 4 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 16\)
• B) \(( x - 4 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 1\)
• C) \(( x + 4 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 1\)
• D) \(( x + 4 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 16\)

---

Definitions:

Musk Oxen

Large, shaggy bovids native to the Arctic regions, known for their thick coats and strong odors produced by glands during the mating season.

Biome

Large community of plants and animals that occupies a distinct region defined by its climate, flora, and fauna.

Desert Soils

Soils found in desert regions characterized by low moisture content, minimal organic matter, and often high salinity levels, supporting limited plant life.

Organic Material

Substance made up of organic compounds originating from the remnants of organisms like plants and animals, including their waste in the natural surroundings.