**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:**

- Draw three consecutive circles of radii 1.5 cm, 2.5 cm and 3.5 cm with O as centre.
- With O
_{1}and O_{2}as centres draw two circles of same radii 3 cm and with the distance between the two centres equal to 5 cm - 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
- 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.
- 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:**

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

**2. With O _{1} and O_{2} as centres draw two circles of same radii 3 cm and with the distance between the two centres equal to 5 cm**

Solution:

**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:

**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:

**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: