Circle
A circle is a collection of all points in a plane which are at a constant distance from a fixed point.
Centre
The fixed point is called the centre.
Radius
The constant distance from the centre is called the radius.
Chord
A line segment joining any two points on a circle is called a chord.
Diameter
A chord passing through the centre of the circle is called diameter. It is the longest chord.
Tangent
When a line meets the circle at one point or two coincidings The line is known as points, a tangent. The tangent to a circle is perpendicular to the radius through the point of contact.
The topics discussed in this chapter are as follows:
- Circle and line in a plane
- Tangent
- Secant
- Tangent perpendicular to the radius at the point of contact
- The number of tangents drawn from a given point
- Length of a tangent
- Lengths of tangents drawn from an external point
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NCERT Solutions for Chapter 10: Circles
Also Check
Chapter 1: Real Numbers
Chapter 2: Polynomials
Chapter 3: Pair of Linear Equations in Two Variables
Chapter 4: Quadratic Equations
Chapter 5: Arithmetic Progression
Chapter 6: Triangles
Chapter 7: Coordinate Geometry
Chapter 8: Introduction to Trigonometry
Chapter 9: Some Applications of Trigonometry
Chapter 11: Constructions
Chapter 12: Areas Related to Circles
Chapter 13: Surface Areas and Volume
Chapter 14: Statistics
Chapter 15: Probability
Check out Frequently Asked Questions (FAQs) for Chapter 10: Circles
A tangent intersects the circle at
A circle can have _____parallel tangents at a single time
The length of the tangent from an external point A on a circle with centre O is
If a parallelogram circumscribes a circle, then it is a
If angle between two radii of a circle is 130°, the angle between the tangents at the ends of the radii is
We know that the sum of the angle between two radii of a circle and the angle between the tangents at the ends of the radii is 180°.
Therefore, the angle between the tangents at the ends of the radii = 180° – 130° = 50°