Question

the center of the circle below is point p. use the figure to select the component that best describes the feature of the figure.

Explanation:

Chord that is not a diameter

A chord is a line segment with both endpoints on the circle. A diameter is a chord that passes through the center of the circle. In the figure, \(BE\) is a chord (since \(B\) and \(E\) are on the circle) and it does not pass through the center \(P\), so \(BE\) is a chord that is not a diameter.

Diameter

A diameter is a straight line passing from side to side through the center of a circle. \(AD\) passes through the center \(P\) and has both endpoints \(A\) and \(D\) on the circle, so \(AD\) is a diameter.

Radius

A radius is a line segment from the center of a circle to a point on the circle. \(PC\) (or \(PA\), \(PD\)) has one - endpoint at the center \(P\) and the other - endpoint (\(C\), \(A\), \(D\)) on the circle, so \(PC\) is a radius.

Central Angle

A central angle is an angle whose vertex is at the center of the circle. \(\angle CPD\) (or other angles with vertex at \(P\) like \(\angle APB\) etc.) has its vertex at the center \(P\) of the circle, so \(\angle CPD\) is a central angle.

Inscribed Angle

An inscribed angle is an angle whose vertex is on the circle. \(\angle AED\) (vertex \(E\) is on the circle) is an inscribed angle.

Answer:

Chord that is not a diameter: \(BE\)
Diameter: \(AD\)
Radius: \(PC\) (or \(PA\), \(PD\))
Central Angle: \(\angle CPD\) (or other angles with vertex at \(P\))
Inscribed Angle: \(\angle AED\) (or other angles with vertex on the circle)