Question

a continuación tenemos un círculo cuyo centro es t. (a) identificar un diámetro: (b) identificar un radio: (c) identificar una cuerda: (d) si la longitud de $overline{uv}$ es 10 unidades, ¿cuál es la longitud de $overline{ts}$? unidades

Explanation:

Step1: Recall diameter definition

A diameter is a line - segment passing through the center of a circle with both endpoints on the circle. So, $\overline{VU}$ is a diameter.

Step2: Recall radius definition

A radius is a line - segment from the center of a circle to a point on the circle. So, $\overline{TS}$ is a radius.

Step3: Recall chord definition

A chord is a line - segment with both endpoints on the circle. So, $\overline{WR}$ is a chord.

Step4: Use radius - diameter relationship

If $\overline{UV}$ is a diameter and has length 10 units, and $\overline{TS}$ is a radius. Since the radius is half of the diameter, if the diameter $d = 10$ units, then the radius $r=\frac{d}{2}$. So the length of $\overline{TS}$ is 5 units.

Answer:

(a) $\overline{VU}$
(b) $\overline{TS}$
(c) $\overline{WR}$
(d) 5