Table of Contents
What is the angle subtended by a chord at the Centre of a circle?
Congruent arcs (or equal arcs) of a circle subtend equal angles at the centre. Therefore, the angle subtended by a chord of a circle at its centre is equal to the angle subtended by the corresponding (minor) arc at the centre.
What will be the angle subtended by the chord at a point on the major arc If the chord is equal to the?
AB = OA = OB = radius of the circle. ΔOAB is an equilateral triangle. So, the angle subtended by the chord at a point on the minor arc and also at a point on the major arc is 150° and 30° respectively.
How to find the angle subtended by a chord of a circle?
Ex 10.5, 2 A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc. Given: A circle with chord AB AB = Radius of circle Let point C be a point on the minor arc & point D be a point on the
What is the chord of the minor arc on the circle?
The chord of the circle being the same as the radius of the circlel, the chord subtends an angle of 60 deg at the centre of the circle. The reflex angle at the centre = 360–60 = 300 deg. Hence the chord subtends an angle of 150 deg at any point on the minor arc. It’s 60.
How do you find the chord of a circle?
A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at point on the minor arc and also at a point on the major arc. A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at point on the minor arc and also at a point on the major arc.
Do equal chords and equal arcs have the same angles?
It is no surprise that equal chords and equal arcs both subtend equal angles at the centre of a fixed circle. The result for chords can be proven using congruent triangles, but congruent triangles cannot be used for arcs because they are not straight lines, so we need to identify the transformation involved.