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# Draw Common Tangents To Two Given Circles, math Assignment Help

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Construction - Draw Common Tangents To Two Given Circles, math

**Construction 6**: Draw a pair of direct common tangents to two circles of radii 2.6 cm and 1.7 cm respectively and the distance between whose centre is 5 cm.

** **

Steps of Construction:

1. Draw a line segment OO' = 5 cm.

2. With O as centre and radius = 2.6 cm, draw a circle.

Taking O' as centre and radius = 1.7 cm, draw another circle.

3. Bisect OO' at M.

4. Taking M as centre and OM as radius draw a circle C(M, 1/2 OO').

5. Taking O as centre and radius = (2.6 - 1.7) cm = 0.9 cm, draw a

circle C(O, 0.9 cm) intersecting C(M, 1/2 OO') in A and B'.

6. Join OA and OB and produce then to meet the circle C(O, 2.6 cm) in P and a respectively.

7. Draw line segments O'R || OP and O'S || OQ to meet the circle C(O, 1.7 cm) at R and S respectively. Join PR and as. Thus, PR and as are required tangents.

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**Construction 6**: Draw a pair of direct common tangents to two circles of radii 2.6 cm and 1.7 cm respectively and the distance between whose centre is 5 cm.

**:**

Steps of Construction

Steps of Construction

1. Draw a line segment OO' = 5 cm.

2. With O as centre and radius = 2.6 cm, draw a circle.

Taking O' as centre and radius = 1.7 cm, draw another circle.

3. Bisect OO' at M.

4. Taking M as centre and OM as radius draw a circle C(M, 1/2 OO').

5. Taking O as centre and radius = (2.6 - 1.7) cm = 0.9 cm, draw a

circle C(O, 0.9 cm) intersecting C(M, 1/2 OO') in A and B'.

6. Join OA and OB and produce then to meet the circle C(O, 2.6 cm) in P and a respectively.

7. Draw line segments O'R || OP and O'S || OQ to meet the circle C(O, 1.7 cm) at R and S respectively. Join PR and as. Thus, PR and as are required tangents.

**Live Math Experts: Help with Tangents to two circles Assignments - Homework**

**Math Online Tutoring**: Tangents to two circles