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.Circles Exercise 10.3

    2. Draw a circle of diameter 7 cm ad constrict tangents at the ends of a diameter.

    Circles Exercise 10.3

    3. In a circle of radius 3.5 cm draw two mutually perpendicular diameters. construct tangents at the ends if the diameters

    Circles Exercise 10.3

    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.

    Circles Exercise 10.3

    5. Draw a circle of radius 3 cm and construct a pair of tangents such that the angle between them is 40.

    Circles Exercise 10.3

    6. Draw a circle of radius 4.5 cm and  a chord  PQ of length 7 cm in it. Construct  a tangent at P.

    Circles Exercise 10.3

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

    Circles Exercise 10.3

    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.

    Circles Exercise 10.3

    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?

    Circles Exercise 10.3

    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.

    Circles Exercise 10.3