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Answered

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:AH

d)AH:EF

e)AH:AD

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:AH d)AH:EF e)AH:AD class=

Verified Answer :

metchelle

I would go with D) AH:EF. The easiest relationship among the parts of a circle that would have the ratio of 1:2 would be that of a radius to a diameter. Among the choices, the one that matches the 1:2 ratio would be AH (a radius) and EF (a diameter).

Answer:

As given Point A is the center of the circle.

We will answer this question by considering all the options.

Option 1. FA : AE    [ Both FA and EA are radius of circle .So their ratio can't be equal to 1:2.]

Option 2. CB : FE  [ CB is a chord and FE is a Diameter  as length of Chord not given, So we can't Predict about their Ratio.]

Option 3: FE : AH  [As FE is the Diameter and AH is radius.Diameter = 2 × Radius,So FE : AH=2:1]

Option 4 : AH : FE  [Explained above AH: FE=1:2]

Option 5:  AH : AD  [AH is the radius of the circle and D is any point on AH So their ratio can't be 1:2.]

Option (d) AH : FE = Radius : Diameter=1:2 is true.


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