Question

continuación tenemos un círculo cuyo centro es k. (a) identificar un diámetro: (b) identificar un radio: (c) identificar una cuerda: (d) si la longitud de $overline{hl}$ es 4 unidades, ¿cuál es la longitud de $overline{km}$? unidades

Explanation:

Step1: Recall definitions

A diameter is a line - segment passing through the center of a circle with endpoints on the circle. So $\overline{HL}$ 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 $\overline{KM}$ is a radius.

Step3: Recall chord definition

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

Step4: Use diameter - radius relationship

If the length of the diameter $\overline{HL}=4$ units, and the radius is half of the diameter. Since $\overline{KM}$ is a radius and $\overline{HL}$ is a diameter, the length of $\overline{KM}=\frac{4}{2}=2$ units.

Answer:

(a) $\overline{HL}$
(b) $\overline{KM}$
(c) $\overline{IJ}$
(d) 2