Find the Center-Radius Form of the Circle Described or Graphed $( - 5,1 )$

question 185

Multiple Choice

Find the center-radius form of the circle described or graphed.
-Find the center-radius form of the equation of the circle having a diameter with endpoints $( - 5,1 )$ and $( 3,7 )$ .

• A) \(( x - 3 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 100\)
• B) \(( x - 1 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 5\)
• C) \(( x + 3 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 10\)
• D) \(( x + 1 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 25\)

---

Definitions:

Deep Structure Elaboration

A concept in cognitive psychology suggesting a detailed and profound processing of information, leading to better understanding and retention.

Surface Structure

In linguistics, it refers to the literal arrangement of words in a sentence, as opposed to the deeper, abstract meaning.

Syntax

The set of rules, principles, and processes that govern the structure of sentences in a given language, especially the order of words.

Semantics

The branch of linguistics and logic concerned with meaning, including the ways meaning is structured in language and interpreted by people.