what is circle?and how many type of theorem.
Answers
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.
Circle theorems:
- The angle at the centre is twice the angle at the circumference.
- The angle in a semicircle is a right angle.
- Angles in the same segment are equal.
- Opposite angles in a cyclic quadrilateral sum to 180°
- The angle between the chord and the tangent is equal to the angle in the alternate segment
Answer:
Step-by-step explanation:
WHAT IS CIRCLE?
∆ 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 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.
∆ A circle is the set of all points at a specific distance from a given point in two dimensions. concentric circles. Two or more circles that have the same center, but different radius . congruent circles. Two or more circles with the same radius, but different centers.
THEOREMS OF CIRCLES :
∆ First circle theorem - angles at the centre and at the circumference. Second circle theorem - angle in a semicircle. Third circle theorem - angles in the same segment. Fourth circle theorem - angles in a cyclic quadrilateral.
∆ Circles have different angle properties, described by theorems . There are seven circle theorems. An important word that is used in circle theorems is subtend .
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