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select the correct answer from each drop - down menu. point a is the ce…

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.

Explanation:

Step1: Identify circle components

Point $A$ is the center, so:

  • Radius: segment from center to circle (e.g., $AE, AB, AH, AD, AF, AI$), length $r$.
  • Diameter: segment through center, 2 radii (e.g., $HI, CF, BD$), length $2r$.

Step2: Calculate the ratio

Ratio of diameter to radius:
$$\frac{\text{Diameter length}}{\text{Radius length}} = \frac{2r}{r} = 2:1$$

Answer:

The ratio of the lengths of diameter (e.g., $\boldsymbol{HI}$) to radius (e.g., $\boldsymbol{AE}$) is 2:1.