What is a circle in geometry class 10?
CBSE Class 10 Maths Notes Chapter 10 Circles. 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.
What are the theorems of circle Class 10?
Circle Theorems and Proofs
- Theorem 1: “Two equal chords of a circle subtend equal angles at the centre of the circle.
- Theorem 2: “The perpendicular to a chord bisects the chord if drawn from the centre of the circle.”
- Theorem 3: “Equal chords of a circle are equidistant (equal distance) from the centre of the circle.”
What are the properties of circle Class 10?
Circle Properties
- The circles are said to be congruent if they have equal radii.
- The diameter of a circle is the longest chord of a circle.
- Equal chords of a circle subtend equal angles at the centre.
- The radius drawn perpendicular to the chord bisects the chord.
- Circles having different radius are similar.
How many formulas are there in circles Class 10?
Area of a Segment of a Circle
| Parameters of Circles | Formulas |
|---|---|
| Length of an arc of a sector of angle θ | (θ/360°) × 2πr |
| Area of major sector | πr2 – (θ/360°) × πr2 |
| Area of a segment of a circle | Area of the corresponding sector – Area of the corresponding triangle |
| Area of the major segment | πr2 – Area of segment (minor segment) |
What is a circle geometry?
A circle is the set of all points in the plane that are a fixed distance (the radius) from a fixed point (the centre). Any interval joining a point on the circle to the centre is called a radius. By the definition of a circle, any two radii have the same length.
What is the theorem 10.1 of circle?
Theorem 10.1: The tangent at any point of a circle is perpendicular to the radius through the point of contact.
What is circle in geometry?
Circle Definition A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry. Also, it has rotational symmetry around the centre for every angle.
What is a circle shape?
A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
What is the theorem 10.1 Class 10?
What is the theorem 10.2 Class 10?
Class 10 Theorem 10.2 The lengths of tangent drawn from an external point to a circle are equal. Class 10 Theorem 10.2 The lengths of tangent drawn from an external point to a circle are equal.
What is circle Short answer?
In geometry, a circle is a perfectly round shape—meaning any point around its curve is the same distance from its central point. Circle commonly refers to anything that’s approximately shaped like this, even if it’s not a perfect circle in geometric terms. The letter O is a circle.
What is a circle in geometry?
What are the eight circle theorems?
Circle Theorem 1 – Angle at the Centre.
What is circle full form?
The Full form of CIRCLE is Center For Improving Readiness Of Children For Learning And Education, or CIRCLE stands for Center For Improving Readiness Of Children For Learning And Education, or the full name of given abbreviation is Center For Improving Readiness Of Children For Learning And Education.
What is circle shape?
A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape. A few things around us that are circular in shape are a car tire, a wall clock that tells time, and a lollipop.
What is the condition of circle?
Condition for it to be a circle is: a=b and h=0.