Question 1
What radius should be taken in the compass to get this half circle? What should be the length of AX?
The half-circle's diameter is AX, and its radius is half of AX.
Step 1 — Find length of AX
Let us look at the diagram. The total length of line segment AB is 8 cm. The half-circle is drawn from point A to point X. Visually, the length AX is half of the total length AB. So, AX is half of 8 cm.
Length of AB = 8 cm Length of AX = Length of AB / 2
Step 2 — Find compass radius
The half-circle has AX as its diameter. The compass opening is the radius of the half-circle. The radius is half of the diameter.
Diameter of half-circle (AX) = 4 cm Radius of half-circle = Diameter / 2
Answer
(i) The radius to be taken in the compass is 2 cm. (ii) The length of AX should be 4 cm.
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