Question

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.
ef
bc
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Explanation:

Step1: Recall the definitions of diameter and radius

A diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. A radius of a circle is a line segment from the center of the circle to a point on the circle. The length of a diameter \(d\) of a circle is related to the length of a radius \(r\) by the formula \(d = 2r\).

Step2: Identify the diameter and radius in the figure

In the given circle with center \(A\), \(BC\) is a diameter (a line segment passing through \(A\) with endpoints \(B\) and \(C\) on the circle). \(AF\) is a radius (a line segment from the center \(A\) to a point \(F\) on the circle).

Since \(d = 2r\), if we let the length of \(AF=r\), the length of \(BC = 2r\). So the ratio of the lengths of \(BC\) to \(AF\) is \(\frac{BC}{AF}=\frac{2r}{r}=2:1\).

Answer:

BC, AF