#### Use a ruler and compass only in this question.

(i) Draw a circle, centre O, and radius 4 cm.

(ii) Mark a point P such that OP = 7 cm.

Construct the two tangents to the circle from P. Measure and record the length of one of the tangents.

**Solution:**

#### Draw a line AB = 6 cm. Construct a circle with AB as diameter. Mark a point P at a distance of 5 cm from the mid-point of AB. Construct two tangents from P to the circle with AB as diameter. Measure the length of each tangent

**Solution:**

**More Solutions:**

- Draw an equilateral triangle of side 5 cm and draw its inscribed circle.
- Triangle ABC with BC = 6.4 cm, CA = 5.8 cm and ∠ ABC = 60°
- Construct a triangle ABC in which BC = 4 cm, ∠ACB = 45°.
- Construct a circle circumscribing the hexagon.
- Draw a circle of radius 3 cm. Mark its centre as C
- Construct a triangle ABC having given c = 6 cm, b = 1 cm and ∠A = 30°.