Question

a circle with center g is shown in the figure below. (a) name a radius: (b) name a diameter: (c) name a chord: (d) if the length of \\(\overline{gf}\\) is 5 units, what is the length of \\(\overline{hi}\\)? \\(\square\\) units

Explanation:

Step1: Identify a radius

A radius connects center G to a point on the circle, e.g., $\overline{GF}$.

Step2: Identify a diameter

A diameter is a chord through center G, e.g., $\overline{HI}$.

Step3: Identify a chord

A chord connects two circle points, e.g., $\overline{EJ}$.

Step4: Calculate length of $\overline{HI}$

$\overline{GF}$ is a radius ($5$ units). $\overline{HI}$ is a diameter, so length = $2 \times 5 = 10$ units.

Answer:

(a) $\overline{GF}$ (or $\overline{GH}$, $\overline{GI}$)
(b) $\overline{HI}$
(c) $\overline{EJ}$ (or $\overline{HI}$)
(d) 10 units