Question

6. Construct a tangent to a circle of radius 4cm from a point on the concentric circle of radis
6cm and measure its length. Also verify the measurement by actual calculation.​

Answer 1

Answer:

1. Draw two concentric circle c1 and c2 with common center. O and radius 4cm and 6cm.
2. Take a point p on the outer circle c2 and join OP.
3. Draw the bisector of OP which bisect OP at M'.
4. Taking M' as center and OM' as radius draw a dotted circle which cut the inner circle C1 at two point M and P.
5. Join PM and PP'. Thus, PM and PP' are required tangent.

On measuring PM and PP'.

PM= PP'= 4.4cm.

In ∆OMP, angle PMO= 90°.

PM²= OP²- DM² (By pythagoras therom)

PM²= (6)² - (4)²

36 - 16 = 20

PM²= 20cm

PM= √20= 4.4cm

Therefore, the length of the tangent is 4.4cm.

HOPE IT HELP'S........