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

Answer 1

Let's match the given values to their appropriate relationships based on the properties of a circle:

1. If r = 2 and d = 4:

   • The diameter \( d \) is twice the radius \( r \).
   • Relationship: \( d = 2r \).
   • This matches because \( 2 \times 2 = 4 \).

2. If r = 4 and d = 8:

   • Again, \( d \) is twice the radius \( r \).
   • Relationship: \( d = 2r \).
   • This matches because \( 2 \times 4 = 8 \).

3. If d = 6 and C = 6π:

   • The circumference \( C \) can be calculated using the diameter with the formula \( C = πd \).
   • Here, \( C = π \times 6 = 6π \) confirms the relationship.
   • This matches.

4. If d = 5 and C = 5π:

   • Using the same formula for circumference \( C = πd \).
   • Here, \( C = π \times 5 = 5π \).
   • This matches.

Now you can fill in the relationships as follows:

• r = 2, d = 4: \( d = 2r \)
• r = 4, d = 8: \( d = 2r \)
• d = 6, C = 6π: \( C = πd \)
• d = 5, C = 5π: \( C = πd \)