**Circles Exercise 10.3 – Questions:**

- Draw a circle of radius 4 cm and construct a tangent at any point on the circle.
- Draw a circle of diameter 7 cm ad constrict tangents at the ends of a diameter.
- In a circle of radius 3.5 cm draw two mutually perpendicular diameters. construct tangents at the ends if the diameters
- In a circle of radius 4.5 cm draw two radii such that the angle between them is 70. Construct tangents at the non- centre ends of the radii.
- Draw a circle of radius 3 cm and construct a pair of tangents such that the angle between them is 40.
- Draw a circle of radius 4.5 cm and a chord PQ of length 7 cm in it. Construct a tangent at P.

7.In a circle of radius 5 cm and a chord of length 8 cm. Construct tangents at the ends of the chord.

- Draw a circle of radius 4 cm and construct chord of length 6 cm in it. Draw a radius perpendicular to the chord from the centre. Construct tangents at the ends of the chord and the radius.
- Draw circle of radius 3.5 cm and construct a central angle of measure 80 and an inscribed angle subtended by the same arc. Construct tangents at the points on the circle. Extend tangents to intersect . What do you observe?
- In a circle of radius 4.5 cm draw two equal of length 5 cm on either sides of the centre. Draw tangents at the end points of the chords.

**Circles Exercise 10.3 – Solutions:**

**Draw a circle of radius 4 cm and construct a tangent at any point on the circle.****2. Draw a circle of diameter 7 cm ad constrict tangents at the ends of a diameter.****3. In a circle of radius 3.5 cm draw two mutually perpendicular diameters. construct tangents at the ends if the diameters****4. In a circle of radius 4.5 cm draw two radii such that the angle between them is 70. Construct tangents at the non- centre ends of the radii.****5. Draw a circle of radius 3 cm and construct a pair of tangents such that the angle between them is 40.****6. Draw a circle of radius 4.5 cm and a chord PQ of length 7 cm in it. Construct a tangent at P.****7.In a circle of radius 5 cm and a chord of length 8 cm. Construct tangents at the ends of the chord.****8. Draw a circle of radius 4 cm and construct chord of length 6 cm in it. Draw a radius perpendicular to the chord from the centre. Construct tangents at the ends of the chord and the radius.****9. Draw circle of radius 3.5 cm and construct a central angle of measure 80 and an inscribed angle subtended by the same arc. Construct tangents at the points on the circle. Extend tangents to intersect . What do you observe?****10. In a circle of radius 4.5 cm draw two equal of length 5 cm on either sides of the centre. Draw tangents at the end points of the chords.**