The problem asks us to identify a diameter, a radius, and a chord in the given circle with center M. Also, if the length of $NO$ is 4 units, we need to determine the length of $MP$.

1. Problem Description

The problem asks us to identify a diameter, a radius, and a chord in the given circle with center M. Also, if the length of $NO$ is 4 units, we need to determine the length of $MP$.

2. Solution Steps

(a) A diameter is a chord that passes through the center of the circle. In the given circle, the line segment $NO$ passes through the center M. Therefore, $NO$ is a diameter.

(b) A radius is a line segment from the center of the circle to a point on the circle. $MP$ is a radius since it connects center $M$ to the point $P$ on the circle. $MO$ is another radius connecting center $M$ to point $O$ on the circle.

(c) A chord is a line segment connecting two points on the circle. In the given circle, $RQ$ is a chord.

(d) We are given that the length of $NO$ is 4 units. $NO$ is a diameter. The radius is half the diameter. We know that $MP$ is a radius of the same circle.

Let $r$ be the radius of the circle.

Then the diameter $d = 2r$.

We have $NO = 4$.

Thus, $d = 4$.

So, $2r = 4$.

Dividing both sides by 2, we get

$r = \frac{4}{2} = 2$.

Therefore, $MP = 2$.

3. Final Answer

(a) $NO$

(b) $MP$

(c) $RQ$

(d) $MP = 2$ units