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## #5 Circles – Chords of a Circle | Problem Solving | You can find all the song chords here

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This is the 5th video of of series of videos presented bu Uniqs Learning under the topic of Circles. We are trying to summarise the basic principles related to circles which we meet in our classes.

In this video we will be applying the theories related to the Chords of a Circle to solve a problem which will teach you how to apply the circle theories and also will help you to get familiar with the theorem.

Question: The radius of the circle is 13cm. If PQ=24cm and TQ=7cm find the, Perimeter of the square OMTN.

Theorems:

The perpendicular from the centre of a circle bisects the chord and a line drawn connecting the midpoint of a chord and the center of the circle is always perpendicular to the chord.

If you are given one interior angle of an isosceles triangle you can find the other two. For example, We are given the angle at the apex as shown on the right of 40°. We know that the interior angles of all triangles add to 180°. So the two base angles must add up to 180-40, or 140°. Here also in this video we will be using this concept about isosceles triangles.

Other concepts about the circles are as follows:

Circle: a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the centre).

Radius: a line segment extending from the center of a circle or sphere to the circumference or bounding surface.

Chord: A chord of a circle is a straight line segment whose endpoints both lie on the circle. The infinite line extension of a chord is a secant line, or just secant. More generally, a chord is a line segment joining two points on any curve, for instance, an ellipse. … The word chord is from the Latin chorda meaning bowstring.

Isosceles triangle: In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.

This video series specially focusses on the G.C.E. Ordinary Level (O level) examination and other primary and secondary school exams and syllabus.

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#5 Circles – Chords of a Circle | Problem Solving.

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