Circles Exercise 10.2 Solutions – Chapter Circles – Class 10

Property related to the chords of a circle – Circle

  • Equal chords of a circle are equidistant from the centre
  • If the chords of a circle are at equal distance from the centre, then they are equal in length
  • If the length of the chord increases, its perpendicular distance from the centre decreases.
  • If the length of the chord decreases, its perpendicular distance from the centre increases
  • The perpendicular distance between the biggest chord and the centre is zero.

Segment of circle – Circle Exercise 10.2

Angles in a segment:

  • In a circle, an angle in the minor segment is an obtuse angle.
  • In a circle, an angle in the major segment is an acute angle.
  • An angle in a semi circle is a right angle.
  • In a circle, angles in the same segment are equal.

Circles Exercise 10.2 – Questions:

  1. Draw three consecutive circles of radii 1.5 cm, 2.5 cm and 3.5 cm with O as centre.
  2. With O1 and O2 as centres draw two circles of same radii 3 cm and with the distance between the two centres equal to 5 cm
  3. Draw a line segment AB = 8 cm and mark its midpoint as C. With 2 cm as radius draw three circles having A, B and C as centres. Draw another circle with C as centre and 4 cm radius draw another circle. Identify the name and the concentric circles and congruent circles
  4. Draw a circle of radius 4 cm and construct a chord of 6 cm length in it. draw two angles in major segment and two angles in minor segment. Verify that the angles by measuring them.
  5. Draw a circle with centre O and radius 3.5 cm and draw a diameter AOB in it. Draw angles in semi- circles on either side of the diameter. Measure the angles and verify that they are right angles.

Circles Exercise 10.2 – Solutions:

  1. Draw three concentric circles of radii 1.5 cm, 2.5 cm and 3.5 cm with O as centre.

Circles Exercise 10.2

2. With O1 and O2 as centres draw two circles of same radii 3 cm and with the distance between the two centres equal to 5 cm

Solution:

Circles Exercise 10.2

3. Draw a line segment AB = 8 cm and mark its midpoint as C. With 2 cm as radius draw three circles having A, B and C as centres. Draw another circle with C as centre and 4 cm radius draw another circle. Identify the name and the concentric circles and congruent circles

Solution:

Circles Exercise 10.2

4. Draw a circle of radius 4 cm and construct a chord of 6 cm length in it. draw two angles in major segment and two angles in minor segment. Verify that the angles by measuring them.

Solution:

Circles Exercise 10.2

5. Draw a circle with centre O and radius 3.5 cm and draw a diameter AOB in it. Draw angles in semi- circles on either side of the diameter. Measure the angles and verify that they are right angles.

Solution:

Circles Exercise 10.2

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