Question

in the image, point a marks the center of the circle. which two lengths must form a ratio of 1:2? a. af:ae b. bc:ef c. ef:ai d. ai:ef e. ai:ad

Explanation:

Step1: Recall circle - related definitions

The radius of a circle is the distance from the center of the circle to any point on the circle. The diameter of a circle is a line - segment that passes through the center of the circle and has its endpoints on the circle, and the length of the diameter is twice the length of the radius.

Step2: Identify radius and diameter in the circle

In the given circle with center \(A\), \(AE\), \(AF\), \(AI\), \(AD\) are all radii of the circle. A line - segment like \(EF\) which passes through the center \(A\) is a diameter.

Step3: Determine the ratio

Since the diameter is twice the radius, if we consider a radius (e.g., \(AI\)) and a diameter (e.g., \(EF\)), the ratio of the radius to the diameter is \(1:2\).

Answer:

C. EF:AI