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How do you construct a tangent line from a point outside a circle?

How do you construct a tangent line from a point outside a circle?

1) Draw a line connecting the point C to the center of the circle A. 2) Construct the perpendicular bisector of that line a)Place a point on the line b) Using the compass tool create a circle with a radius from that new point to A, centered at A.

How do you construct a tangent to a circle in Class 10?

Solution: Draw a circle with radius 6 cm and centre O.

  1. Draw a line segment OP = 10 cm.
  2. Make perpendicular bisector of OP which intersects OP at point O’.
  3. Take O’P as radius and draw another circle.
  4. From point P, draw tangents to points of intersection between the two circles.
  5. PQ = PR = 8 cm.
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What are the steps to construct a 60 degree angle?

Constructing a 60° angle

  1. open the compass to the same dimensions as our original line.
  2. place the point of the compass on one end of the line and draw an arc.
  3. repeat this at the other end and the arcs should intersect where the tip of the triangle should be.

How do you construct an angle of 60 degrees at the initial point of a given Ray?

To construct an angle of 60° at the initial point of a given ray

  1. Draw a ray OA.
  2. With center O and any radius draw an arc with the help of compasses, cutting the ray OA at B.
  3. Without changing the radius (From step-2) taking B as center draw an arc that cuts the previous arc at C.
  4. Join OC and produce it to obtain ray OD.

How do you draw two tangents without using the center?

question_answer Answers(1)

  1. Take point O and draw a circle of radius 4 cm.
  2. Take any point P out side the circle.
  3. Through the external point P draw a straight line PBA meet the given circle at A and B.
  4. With AP as diameter , draw a semicircle.
  5. Draw BC ⊥ AP, which intersects the semicircle at C.
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What is 2nd step to construct the tangents to the point outside the circle?

Steps: Draw a line connecting the point to the center of the circle. Construct the perpendicular bisector of that line. Place the compass on the midpoint, adjust its length to reach the end point, and draw an arc across the circle. Where the arc crosses the circle will be the tangent points.

How do you construct two tangents?

Draw a line connecting the point to the center of the circle. Construct the perpendicular bisector of that line. Place the compass on the midpoint, adjust its length to reach the end point, and draw an arc across the circle. Where the arc crosses the circle will be the tangent points.

Can two tangents be constructed from a point on a circle?

Construction of Tangents to a Circle Two tangents can be drawn to a circle from a point outside of the circle. Lengths of the two tangents will be equal.