We are given a circle with center $N$. We need to identify a radius, a diameter, and a chord in the circle. We are also given that the length of $NP$ is 8 units, and we need to find the length of $KO$.

1. Problem Description

We are given a circle with center $N$. We need to identify a radius, a diameter, and a chord in the circle. We are also given that the length of $NP$ is 8 units, and we need to find the length of $KO$.

2. Solution Steps

(a) A radius is a line segment from the center of the circle to a point on the circle. From the figure, a radius is $NP$ or $NK$ or $NO$.

(b) A diameter is a line segment that passes through the center of the circle and has endpoints on the circle. From the figure, a diameter is $KO$.

(c) A chord is a line segment whose endpoints both lie on the circle. From the figure, a chord is $LM$ or $KO$.

(d) We are given that $NP = 8$ units. From the figure, $NP$ is a radius of the circle. Also, $KO$ is a diameter of the circle. The diameter of a circle is twice the radius. Therefore, $KO = 2 \cdot NP = 2 \cdot 8 = 16$ units.

3. Final Answer

(a) A radius: $NP$ (or $NK$ or $NO$)

(b) A diameter: $KO$

(c) A chord: $LM$ (or $KO$)

(d) The length of $KO$ is 16 units.