Math, asked by wwwanweshamodi17, 5 months ago

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

Answers

Answered by harshsharma88494
2

Answer:

I won't like construction using compass and ruler to get the answer and say, "Check the attachment for your answer."

I used Grapher for this.

Check the attachment for your answer.

Step-by-step explanation:

  1. Draw a circle of radius 4 cm.
  2. Dram another concentric one, of radius 6 cm.
  3. Take any point on the outer circle.
  4. Join this point to the Centre. Let it be P.
  5. Find the mid point of this line and pass a perpendicular bisector from it.
  6. Now consider the two points where the perpendicular bisector and the inner circle intersect.
  7. Let these point be Q and R.
  8. Join Q to P and then R to P.
  9. Hence, PQ and PR are the required tangents.

By Pythagoras Theorem, the length of each Tangent should be

2 \times  \sqrt{ ({6}^{2} }   -  {4}^{2} ) \\  = 2 \times  \sqrt{(36 - 16)}  \\  = 2 \sqrt{20}  \\  = 4 \sqrt{5}

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