Mathematics 10 — Exercise 10.1 · Q1 (2)

Full question

Construct a circle of radius 17/10 cm. Verify its centre by construction.

Step-by-step solution

  1. Mark a point O as the centre.

  2. Using a ruler, set the compass opening to the specified radius.

  3. Keep the compass needle fixed at O. Rotate the pencil through one complete turn without changing the opening.

  4. Mark any point P on the circumference and join OP. Measure OP: it equals the specified radius. Repeat for a second point to verify.

  5. To verify the centre by construction, choose two nonparallel chords and construct their perpendicular bisectors with equal compass arcs.

  6. Both bisectors must meet at the original O. A centre is equidistant from each chord’s two endpoints.

Answer

The construction above gives the required circle or tangent.

OPOP=17/10 cmDiagram not to scale