Geometry Worksheets | Circles Worksheets - Free Printable

Let's solve each problem step by step. We are asked to identify the circle, radius, and diameter for each diagram.

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Key Definitions:

- Circle: The entire shape; named by its center point.
- Radius: A segment from the center of the circle to any point on the circle.
- Diameter: A segment that passes through the center, with both endpoints on the circle. It is twice the length of the radius.

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Now let’s go through each one:

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1)

- Points: M, K, L, N
- Center: K (since it's inside and connected to points on the circle)
- Radius: Segment from center K to any point on the circle → K to L or K to N
- Diameter: A line passing through center with endpoints on circle → M to N (passes through K)

✔
- Circle: Circle K
- Radius: KL or KN
- Diameter: MN

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2)

- Points: T, R, S, U
- Center: R (inside the circle, connected to others)
- Radius: R to T or R to S
- Diameter: T to U (passes through R)

✔
- Circle: Circle R
- Radius: RT or RS
- Diameter: TU

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3)

- Points: C, A, B, D
- Center: A (in the middle)
- Radius: A to B or A to C
- Diameter: C to D (passes through A)

✔
- Circle: Circle A
- Radius: AB or AC
- Diameter: CD

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4)

- Points: D, B, C, E
- Center: B (inside, connected to others)
- Radius: B to C or B to E
- Diameter: D to E (passes through B)

✔
- Circle: Circle B
- Radius: BC or BE
- Diameter: DE

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5)

- Points: F, G, E, H
- Center: E (inside, connected to others)
- Radius: E to F or E to H
- Diameter: G to H (passes through E)

✔
- Circle: Circle E
- Radius: EF or EH
- Diameter: GH

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6)

- Points: D, C, E, F
- Center: C (inside, connected to others)
- Radius: C to D or C to E
- Diameter: D to F (passes through C)

✔
- Circle: Circle C
- Radius: CD or CE
- Diameter: DF

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7)

- Points: O, P, Q, N
- Center: N (inside, connected to others)
- Radius: N to O or N to P
- Diameter: O to Q (passes through N)

✔
- Circle: Circle N
- Radius: NO or NP
- Diameter: OQ

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8)

- Points: P, N, O, M
- Center: M (inside, connected to others)
- Radius: M to P or M to N
- Diameter: P to N (passes through M)

✔
- Circle: Circle M
- Radius: MP or MN
- Diameter: PN

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9)

- Points: Q, O, P, R
- Center: O (inside, connected to others)
- Radius: O to P or O to R
- Diameter: Q to R (passes through O)

✔
- Circle: Circle O
- Radius: OP or OR
- Diameter: QR

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✔ Final Answers:

| Problem | Circle | Radius | Diameter |
|--------|------------|---------------|----------|
| 1) | Circle K | KL or KN | MN |
| 2) | Circle R | RT or RS | TU |
| 3) | Circle A | AB or AC | CD |
| 4) | Circle B | BC or BE | DE |
| 5) | Circle E | EF or EH | GH |
| 6) | Circle C | CD or CE | DF |
| 7) | Circle N | NO or NP | OQ |
| 8) | Circle M | MP or MN | PN |
| 9) | Circle O | OP or OR | QR |

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Let me know if you'd like this formatted as a printable answer sheet!