Question 1
What radius should be taken in the compass to get this half circle? What should be the length of ?
- The total length of the line segment is .
- The segment forms the diameter of the half-circle, which spans half the length of .
- The compass opening required to draw the half-circle corresponds to its radius, which is half of the diameter .
Step 1 · Find the Length of
From the given figure, line segment is half of the total length .
Step 2 · Find the Radius for the Compass
The line segment is the diameter of the half-circle. The compass radius is half of this diameter:
Radius of compass , Length of
- Confusing Diameter with Radius: Setting the compass to the full diameter instead of the radius , which results in a semicircle twice as large.
- Incorrect Baseline: Taking the radius directly as half of the entire segment () without realizing that is the diameter .
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