Question

The radius of the a circle is:

is a line segment with its endpoints on the circle.

is a line segment from the center of a circle to a point on the circle

is a chord that passes through the center of a circle. It is twice the length of a radius of that circle

is a part of a circle with all its points on the circle

Answer 1

`\fbox{\textsf{Option B is \underline{correct}.}}`

Explanation:

`\textsf{We are asked to identify what the radius of a circle is.}\\`

`\textsf{Let's look at what a Radius really is.}}`

`\Large\underline{\textsf{What is a Radius?}}`

`\textsf{A \underline{Radius} is a \underline{line segment} that has the distance between the \underline{center of the circle}}`

`\textsf{to a \underline{point} on the \underline{circumference}. A Radius is a \bf{straight line.}}`

`\textsf{Let's review the options provided.}}`

`\textsf{Option A is \underline{incorrect}. }}`

`\textsf{Sometimes it won't cross the center if their endpoints are on the circumference.}`

`\textsf{This is called a Diameter, if it does cross the center.}`

`\fbox{\textsf{Option B is \underline{correct}.}}`

`\textsf{The Radius is exactly a line segment from the center to the circumference.}`

`\textsf{Option C is \underline{incorrect}. }}`

`\textsf{A Chord is a line segment whose endpoints are on the circumference, always.}`

`\textsf{This is not a Radius, as a Chord covers twice the distance, and length of a Radius.}`

`\textsf{Option D is \underline{incorrect}. }}`

`\textsf{This is incorrect. A Radius has to have the Center as one of its points. }`