We know that line OQ is the perpendicular bisector of the common chord AB. Line OQ connects the centers of the two circles and is 20 units long. The radius of circle O is 16, and the radius of circle Q is 9. ProblemĬircles O and Q intersect at points A and B. Q4: How is the Length of a Chord Affected if it is Closer to the Centre of the Circle?Īs the chord approaches the center of the circle it’s length approaches to maximum length i.e., diameter.If we know the radii of two intersecting circles, and how far apart their centers are, we can calculate the length of the common chord. No, the length of a chord can’t be greater than the diameter as the diameter is the longest chord of the circle. Q3: Can Length of a Chord be Greater than the Diameter of a Circle? The Chord Length Formula calculates the length of a chord in a circle. => 7.5 cm FAQs on Chord of a Circle Q1: Define Chord.Ī line segment joining two points on the circumference of the circle is known as Chord. Length of a common chord of two circles = (2R 1 × R 2) / Distance between two centers of circles Radius of the two circles is R 1 and R 2 with lengths 6cm and 5cm respectively And, the distance between the two centres was measured to be 8cm. Problem 6: Calculate the length of a common chord between the circles of radius 6cm and 5cm respectively. 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.Chords that are equal in length subtend equal angles at the centre of a circle.There is only one circle that passes through three collinear points.Chords that are equidistant from the centre of a circle are equal in length. ![]() The perpendicular to a chord, that is drawn from the centre of the circle bisects the chord.A chord that passes through the centre of a circle is called a diameter, and it is the longest chord in the circle.There are various properties of chords in a circle, some of those properties are as follows: Now, we know that the perpendicular drawn from the centre bisects the chords. Software Engineering Interview Questions.Top 10 System Design Interview Questions and Answers.Top 20 Puzzles Commonly Asked During SDE Interviews.Commonly Asked Data Structure Interview Questions.Top 10 algorithms in Interview Questions.Top 20 Dynamic Programming Interview Questions.Top 20 Hashing Technique based Interview Questions.Top 50 Dynamic Programming (DP) Problems.Top 20 Greedy Algorithms Interview Questions.Top 100 DSA Interview Questions Topic-wise.
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