![]() Problem 4: In a circle, the radius is 16cm and the perpendicular distance from the centre of the circle to its chords is 5cm. Calculate the chord length of the circle. Problem 1: A circle is an angle of 70 degrees whose radius is 5cm. The angle subtended by a chord at the centre is twice the angle subtended by the chord at the circumference.This is known as the intersecting chords theorem. If two chords in a circle intersect, then the product of the segments of one chord is equal to the product of the segments of the other chord.When the subtended angles by a chord are equal then the length of chords are also equal.This is known as the perpendicular bisector theorem. If a radius is perpendicular to a chord, then it bisects the chord and the arc it intercepts. ![]() The perpendicular bisector of a chord passes through the centre of the circle. ![]()
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