What is the measure of an angle formed by two tangents drawn from a point outsid

Practice Questions

Q1
What is the measure of an angle formed by two tangents drawn from a point outside a circle?
  1. Half the difference of the intercepted arcs.
  2. Half the sum of the intercepted arcs.
  3. Equal to the intercepted arc.
  4. Equal to the radius.

Questions & Step-by-Step Solutions

What is the measure of an angle formed by two tangents drawn from a point outside a circle?
  • Step 1: Identify the point outside the circle from which the two tangents are drawn.
  • Step 2: Draw the two tangents from the point to the circle, touching the circle at two points.
  • Step 3: Identify the two arcs on the circle that are intercepted by the tangents.
  • Step 4: Measure the angles of the two intercepted arcs. Let's call them Arc A and Arc B.
  • Step 5: Calculate the difference between the measures of Arc A and Arc B. This is (Arc A - Arc B).
  • Step 6: Take half of the difference calculated in Step 5. This gives you the measure of the angle formed by the two tangents.
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