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What are the components of a circle? What are the main Properties related to a circle? Important Theorems on Circles Class 9 Maths Chapter 10 Equal chords of a circle are equidistant from the centre and cords equidistant from the centre of a circle are equal. If two arcs of a circle are congruent, then their corresponding chords are equal and conversely if two chords of a circle are equal, then their corresponding arcs are congruent. Congruent arcs of a circle subtend equal angles at the centre.
The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle. Angles in the same segment of a circle are equal. Angle in a semi-circle is a right angle. The sum of either pair of opposite angles of a cyclic quadrilateral is and if the sum of a pair of opposite angles of a quadrilateral is , then the quadrilateral is cyclic.
The centre of a circle lies in interior of the circle. A circle has only finite number of equal chords.
True or False? A contractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at a height of 1. What should be the length of the slide in each case? Find the height of the tower. A kite is flying at a height of 60 m above the ground.
The string attached to the kite is temporarily tied to a point on the ground. Find the length of the string, assuming that there is no slack in the string. Find the distance he walked towards the building. A statue, 1. Find the height of the pedestal. If the tower is 50 m high, find the height of the building.
Two poles of equal heights are standing opposite each other on either side of the road, which is 80 m wide. Find the height of the poles and the distance of the point from the poles. We will help you as soon as possible. What is the use of Trigonometry in daily life?
What is horizontal ray? What do you understand by Line of Sight? What do you mean by Angle of Elevation? What is Angle of Depression? The line of sight is the line drawn from the eye of an observer to the point in the object viewed by the observer. How do you find an angle of elevation? The angle of elevation of the point viewed is the angle formed by the line of sight with the horizontal when the point being viewed is above the horizontal level.
What is meant by angle of depression? The angle of depression of a point on the object being viewed is the angle formed by the line of sight with the horizontal when the point is below the horizontal level. How can we find the height of an object without measuring? The height or length of an object or the distance between two distant objects can be determined with the help of trigonometric ratios.
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