10th mathematics exercise questions with answers

# Circles Exercise 10.3 – Chapter Circles – Class 10

## Circles Exercise 10.3 – Questions:

1. 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.

1. 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.
2. 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?
3. 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:

1. 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. 