Question

a circle with center n is shown in the figure below.
(a) name a radius:
(b) name a diameter:
(c) name a chord:
(d) if the length of \\(\overline{np}\\) is 6 units, what is the length of \\(\overline{ko}\\)? \\(\square\\) units

Explanation:

Step1: Identify a radius

A radius connects the center \(N\) to a point on the circle, e.g., \(\overline{NP}\).

Step2: Identify a diameter

A diameter is a chord passing through \(N\), e.g., \(\overline{KO}\).

Step3: Identify a chord

A chord connects two circle points, e.g., \(\overline{LM}\).

Step4: Calculate length of \(\overline{KO}\)

Diameter = \(2 \times \text{radius}\). Given \(\overline{NP}=6\), so \(\overline{KO}=2 \times 6 = 12\).

Answer:

(a) \(\overline{NP}\)
(b) \(\overline{KO}\)
(c) \(\overline{LM}\)
(d) 12 units