Chapter 10 — Tangents and Angles of a Circle

Federal Board / SNC 2022 · Class 10 Mathematics

Students Learning Outcomes (SLOs) covered:
  • A line perpendicular to a radius at its outer endpoint is tangent to the circle.
  • The tangent and the radius joining the point of contact and the center are perpendicular.
  • The two tangents drawn to a circle from an external point are equal in length.
  • If two circles touch externally (internally), the distance between centers equals the sum (difference) of their radii.
  • The central angle of an arc is double the inscribed angle subtended by the same arc.
  • Any two angles in the same segment of a circle are equal.
  • The angle in a semicircle is a right angle; angles in segments greater/less than a semicircle are acute/obtuse.
  • The opposite angles of a cyclic quadrilateral are supplementary.
  • Apply concepts of tangents and angles to real-life problems (architecture, monuments, engineering).
Test Instructions: 15 questions will be randomly selected from a bank of 60 questions. Time limit is 20 minutes. Passing marks: 40%. Each question has exactly one correct option. You may move between questions using Next/Previous before submitting.

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Passing Marks

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