HavenHub Math - Vol 2 - Workbook - Edition 15: The Eternal

Part I: The Core Relationship

Apply the Law of the Bridge ($d = 2r$) and the Law of the Root ($r = d/2$).

1. A circular shield has a **Radius** of 15 inches. What is its **Diameter**?

d = ________ inches

2. A communal well has a total width (**Diameter**) of 8 cubits. What is the distance from the center of the well to the rim?

r = ________ cubits

3. A wedding ring has a **Radius** of 9 mm. How wide is the ring at its widest point?

d = ________ mm

The Lawyer's Check:

Is your diameter a straight line? Did it pass through the center? Remember, a line that connects the edges but misses the heart is a 'Chord', not a diameter.

Part II: Identifying the Witnesses

Label the parts of the circle in the diagram below.

Blue Line: ________________
Green Line: ________________
Red Dot: ________________

Part III: Geometric Construction (The Symmetrical Arc)

4. Use a compass to draw a circle with a **Radius of 4 cm**.
1. Mark the center point as 'C'.
2. Draw a diameter and label its length.
3. Pick any point on the edge and label it 'P'.

[Draw your circle here]

Length of Diameter: ________ cm

Part IV: The Science of Subtraction (Diameter to Radius)

Sometimes we see the whole bridge, and we must find the root distance to the heart. Use $r = d / 2$.

5. A circular threshing floor has a **Diameter** of 22 cubits. What is its **Radius**?

r = ________ cubits

6. The mouth of a large storage jar has a **Diameter** of 48 cm. How long must a stirring rod be to reach exactly from the center to the edge?

Radius = ________ cm

7. A communal city wall forms a circle with a total width (**Diameter**) of 1,200 meters. How far is the wall from the central Tabernacle?

Radius = ________ meters

Part V: Kingdom Modeling

8. The City of Zion:
A city is built in a perfect circle with a diameter of 10 miles. The King's Palace is at the exact center.
1. If a guard is standing at the city wall, how far is he from the Palace?
2. If a messenger travels from the North Wall to the South Wall in a straight line through the Palace, how far does he travel?

9. The Table of Echad:
Twelve disciples sit around a circular table. The distance from one disciple to the disciple directly across from him (through the center) is 240 cm. What is the distance from any disciple to the center of the table?

10. The Fountain of Grace:
A fountain spray makes a circle on the ground. The radius of the wet area is 3.5 meters. How wide is the fountain's reach (the Diameter)?

Part VI: The Echad Extension (Transmission)

11. The Compass Challenge:
Sit with a younger sibling or friend. Use a piece of string and a pencil to draw a perfect circle on a piece of paper. Explain to them that the string is the **Radius**. Ask them what would happen if the string got longer while you were drawing. Record their answer and how you explained that the circle represents God's consistent love.

Part VII: Logic and Reflection

12. The Rupture of the Cord:
If a line segment connects two points on a circle but is only 80% the length of the diameter, can it pass through the center? Why or why not? Explain using the definition of a circle and the property of the radius.

13. The Theology of the Radius:
Why is the circle a symbol of "Eternal" things? How does the fact that every point is the same distance from the center reflect the way God loves His children? How does having a fixed center protect the community from drifting?

"I vow to maintain my anchor in the Center. I will not trust in a skewed path, but will ensure my connections to others pass through the heart of the Father's love."

[VOLUME 2 WORKBOOK SPEC: 15.1] This workbook introduces the basic nomenclature and ratios of the circle. It emphasizes the importance of the center point as the defining feature of the shape. Total Practice Items: 8 Average Time per Item: 8-10 minutes Theological Anchor: Centrality/Mystery

The Eternal’s Workbook