Question

1
select the correct answer from each drop - down menu.
point a is the center of this circle.
the ratio of the lengths of to is 2:1.
(there are drop - down menus and a circle diagram with center a and points b, e, c, i, f, d, h on the circumference)

Explanation:

Step1: Identify circle components

Point A is the center, so:

• EF is a diameter: length = $2r$ (where $r$ is radius)
• BC is a chord subtended by a central angle, and since it is a segment between two points on the circle with the distance from the center equal to the radius, its length is equivalent to the radius $r$ (or half the diameter).

Step2: Calculate the ratio

Set up the ratio of EF to BC:
$$\frac{\text{Length of EF}}{\text{Length of BC}} = \frac{2r}{r} = 2:1$$

Answer:

The ratio of the lengths of EF to BC is 2:1.