# What are the 8 circle theorems?

## What are the 8 circle theorems?

Circle Theorem 1 – Angle at the Centre.

• Circle Theorem 2 – Angles in a Semicircle.
• Circle Theorem 3 – Angles in the Same Segment.
• Circle Theorem 4 – Cyclic Quadrilateral.
• Circle Theorem 5 – Radius to a Tangent.
• Circle Theorem 6 – Tangents from a Point to a Circle.
• Circle Theorem 7 – Tangents from a Point to a Circle II.
• How do you easily read circle theorems?

Circle Theorems and Proofs

1. Theorem 1: “Two equal chords of a circle subtend equal angles at the centre of the circle.
2. Theorem 2: “The perpendicular to a chord bisects the chord if drawn from the centre of the circle.”
3. Theorem 3: “Equal chords of a circle are equidistant (equal distance) from the centre of the circle.”

What are the 4 circle theorems?

Now for the 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.

### What is theorem 10.8 of Class 9th?

Theorem 10.8: The angle subfended by an are at the centre is double the angic subrended by it at any point on the remaining part of the circle.

What is Class 9 math theorem?

Theorem: The sides opposite to equal angles of a triangle are equal. Theorem: If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater). Theorem: In any triangle, the side opposite to the larger (greater) angle is longer.

What angle is a semi circle?

90 degrees
The angle in a semicircle is 90 degrees.

## What is degree theorem?

Ans. Degree Measure Theorem states that angle subtended by an arc of a circle at the centre is twice the angle subtended by it at any point on the circle.

What is PGT theorem?

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

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 kind of angle is formed by the corner of a square table?

A right angle is represented by the symbol ∟. The given image shows various formations of the right angle. We can find the right angles in shapes. A square or rectangle has four corners with right angles.

What is Thales theorem Class 10?

Thales Theorem Statement If a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio.

How do you find the perpendicular angle of a right-angled triangle?

In geometry, the right triangle formulas are formulas of the right triangle that are used to calculate the perimeter, area, height, etc of the triangle using three of its sides – base, height, and hypotenuse. These formulas are given as: Pythagoras Theorem – Formula: (Hypotenuse)2 = (Perpendicular)2 + (Base)

## What is a circle Class 6?

A circle is a simple closed curve and it is not a polygon. Below is the image of a circle. Parts of a Circle. Centre: The center point of the entire circle. Point C is the centre of the circle.