Given the Radius, Diameter, or Circumference of a circle match it to the appropriate relationship. r = Radius d = Diameter C = Circumference C=πd

Question

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If r = 2 and d = 4

If r = 4 and d = 8

If d = 6 and C = 6π

If d = 5 and C = 5π

then c n

then c 4

then c 8

then c 2

then r 3

then r 10

then r 6

Answer 1

To match the relationships based on the given values of radius (r), diameter (d), and circumference (C), we can use the relationships:

1. r = Diameter/2 (d = 2r)
2. d = Radius * 2 (r = d/2)
3. C = π * d (Circumference = π * Diameter)

Now let's analyze the given values one by one:

1. If r = 2 and d = 4:

   • d = 2r → d = 22 = 4 (correct)
   • C = πd = π4 (circumference for this case)

2. If r = 4 and d = 8:

   • d = 2r → d = 24 = 8 (correct)
   • C = πd = π8 (circumference for this case)

3. If d = 6 and C = 6π:

   • C = πd → C = π6 = 6π (correct)
   • From d, r = d/2 = 6/2 = 3

4. If d = 5 and C = 5π:

   • C = πd → C = π5 = 5π (correct)
   • From d, r = d/2 = 5/2 = 2.5

Now let's present the matched results:

• For if r = 2 and d = 4, then C = 4π calculated as π*d
• For if r = 4 and d = 8, then C = 8π calculated as π*d
• For if d = 6 and C = 6π, then r = 3 calculated as d/2
• For if d = 5 and C = 5π, then r = 2.5 calculated as d/2 but that is not listed.

To summarize the proper relations:

• then C = 4π for d = 4.
• then C = 8π for d = 8.
• then r = 3 for d = 6.
• then r = 2.5 for d = 5 (not listed).

In the question's context, please fill accordingly within your interactive system for the responses:

• For "then c n": C = 4π or C = 8π (match as contextually needed)
• For "then c 4": C = 4π
• For "then c 8": C = 8π
• For "then c 2": Not Given
• For "then r 3": r = 3 for d = 6
• For "then r 10": Not Given
• For "then r 6": Not Given

Ideally, you will need to assign these appropriately based on your interactive needs.