Let's solve each problem on the worksheet step by step. The goal is to
identify:
-
Circle: The name of the circle (usually named by its center).
-
Radius: A segment from the center to any point on the circle.
-
Diameter: A segment that passes through the center and connects two points on the circle (twice the radius).
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🔹 Definitions Recap:
-
Circle: Named by its
center point.
-
Radius: Any line segment from the
center to a point on the circle.
-
Diameter: A line segment passing through the
center, with endpoints on the circle.
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Now, let’s go through each diagram:
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1)
-
Circle: Center is
J, so the circle is
Circle J.
-
Radius: From center
J to
K →
JK
-
Diameter: Line segment
LM passes through center
J →
LM
✔ Answers:
- Circle:
J
- Radius:
JK
- Diameter:
LM
---
2)
-
Circle: Center is
G, so
Circle G
-
Radius:
GK or
GH (both go from center to edge)
-
Diameter:
JH — it goes through center
G and ends at
J and
H
✔ Answers:
- Circle:
G
- Radius:
GK (or GH)
- Diameter:
JH
---
3)
-
Circle: Center is
C, so
Circle C
-
Radius:
CD (from center C to D)
-
Diameter:
FE — passes through center
C, from F to E
✔ Answers:
- Circle:
C
- Radius:
CD
- Diameter:
FE
---
4)
-
Circle: Center is
N, so
Circle N
-
Radius:
NO (from center N to O)
-
Diameter:
PQ — passes through center
N, from P to Q
✔ Answers:
- Circle:
N
- Radius:
NO
- Diameter:
PQ
---
5)
-
Circle: Center is
O, so
Circle O
-
Radius:
OP (from center O to P)
-
Diameter:
RQ — passes through center
O, from R to Q
✔ Answers:
- Circle:
O
- Radius:
OP
- Diameter:
RQ
---
6)
-
Circle: Center is
D, so
Circle D
-
Radius:
DE (from center D to E)
-
Diameter:
FG — passes through center
D, from F to G
✔ Answers:
- Circle:
D
- Radius:
DE
- Diameter:
FG
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7)
-
Circle: Center is
F, so
Circle F
-
Radius:
FH (from center F to H)
-
Diameter:
HJ — passes through center
F, from H to J
✔ Answers:
- Circle:
F
- Radius:
FH
- Diameter:
HJ
---
8)
-
Circle: Center is
N, so
Circle N
-
Radius:
NJ (from center N to J), or
NL, etc.
-
Diameter:
KL — passes through center
N, from K to L
✔ Answers:
- Circle:
N
- Radius:
NJ (or NK, NL, etc.)
- Diameter:
KL
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9)
-
Circle: Center is
A, so
Circle A
-
Radius:
AB (from center A to B)
-
Diameter:
CD — passes through center
A, from C to D
✔ Answers:
- Circle:
A
- Radius:
AB
- Diameter:
CD
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✔ Final Answers Summary:
| Problem | Circle | Radius | Diameter |
|--------|--------|--------|----------|
| 1) | J | JK | LM |
| 2) | G | GK | JH |
| 3) | C | CD | FE |
| 4) | N | NO | PQ |
| 5) | O | OP | RQ |
| 6) | D | DE | FG |
| 7) | F | FH | HJ |
| 8) | N | NJ | KL |
| 9) | A | AB | CD |
> 💡 Note: For radius, any segment from center to edge is acceptable. If multiple are possible, pick one shown clearly.
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Let me know if you'd like this formatted as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of radius and diameter worksheet answers.
