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## Circles Exercise 10.8 – Questions:

### I(A).

- Draw two congruent circles of radii 3 cm, having their centres 10 cm apart, Draw a direct common tangent
- Draw two direct common tangents to two congruent circles of radii 3.5 cm and whose distance between them is 3 cm
- Draw two direct common tangent to two externally toucan circles of radii 4.5 cm
- Draw a pair of direct common tangents to two circles of radii 2.5 cm whose centres are at 4 cm apart.

### (B)

- Construct a direct common tangent to two circles of radii 5 cm and 2 cm whose centres are 3 cm apart.
- Draw a direct common tangent to two internally touching circles of radii 4.5 cm and 2.5 cm
- Construct a direct common tangent to two internally touching circles of radii 4cm and 2 cm whose centres are 8 cm apart. Measure and verify the length of the tangent.
- Two circles of radii 5.5 cm and 3.5 cm touch each other externally. Draw a direct common tangent and measure its length.
- Draw direct common tangents to two circles of radii 5 cm and 3 cm having their centres 5 cm apart.
- Two circles of radii 6 cm and 3 cm at a distance of 1 cm, Draw a direct common tangent, measure and verify its length.

**Circles Exercise 10.8 – Solution:**

**I(A). **

**Draw two congruent circles of radii 3 cm, having their centres 10 cm apart, Draw a direct common tangent**

Solution:

**Draw two direct common tangents to two congruent circles of radii 3.5 cm and whose distance between them is 3 cm**

Solution:

**Draw two direct common tangent to two externally toucan circles of radii 4.5 cm**

Solution:

**Draw a pair of direct common tangents to two circles of radii 2.5 cm whose centres are at 4 cm apart.**

Solution:

** (B) **

**Construct a direct common tangent to two circles of radii 5 cm and 2 cm whose centres are 3 cm apart.**

Solution:

**Draw a direct common tangent to two internally touching circles of radii 4.5 cm and 2.5 cm**

Solution:

**Construct a direct common tangent to two internally touching circles of radii 4cm and 2 cm whose centres are 8 cm apart. Measure and verify the length of the tangent.**

Solution:

**Two circles of radii 5.5 cm and 3.5 cm touch each other externally. Draw a direct common tangent and measure its length.**

Solution:

**Draw direct common tangents to two circles of radii 5 cm and 3 cm having their centres 5 cm apart.**

Solution:

**Two circles of radii 6 cm and 3 cm at a distance of 1 cm, Draw a direct common tangent, measure and verify its length.**

Solution: