Why circles with same radii are equal?

Why circles with same radii are equal?

Step-by-step explanation: If two figures have same shape and size then they are called congruent figures. In case of circles, if two circles have same radius, diameter and shape then the circles are congruent. Therefore, we can conclude that the circles having equal radii are congruent circles.

Is a chord a radius True or false?

This statement is ” false ” . Chord :- A segment joining any two points on the circle is know as ” Chord ” . Radius :- A segment joining centre of circle and a point on the circle is know as ” Radius “. Hence each radius is not a chord.

Is a circle and a line may have three points in common?

A circle and a line may have three points in common. Every chord of a circle contains two points of the circle. 6. A chord is not a diameter.

Is it true that a line and a circle have exactly one point in common?

A line that intersects a circle in exactly one point is called a tangent and the point where the intersection occurs is called the point of tangency. The tangent is always perpendicular to the radius drawn to the point of tangency.

What does congruent circles mean?

Definition. Congruent circles are two or more circles that have congruent radii. In Figure 6.3, circles P and Q are congruent because their radii have equal lengths.

What are circles with same radii called?

Equal circles. Concentric circles.

Does a circle has only finite number of equal chords?

(ii) A circle has only finite number of equal chords. Answer: False, because a circle can haev infinite number of equal chords. (iii) If a circle is divided into three equal arcs, each is a major arc. (iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle.

Is it true that already of a circle are congruent?

By definition, all radii of a circle are congruent, since all the points on a circle are the same distance from the center, and the radii of a circle have one endpoint on the circle and one at the center. The length of the diameter is twice that of the radius. Therefore, all diameters of a circle are congruent, too.

What is the line in the middle of a circle called?

A line segment that crosses the circle by passing through its center is called a diameter. The diameter is twice the length of the radius. In the circle above, AC is a diameter of the circle. A diameter is a chord that passes through the center of the circle.

What do you call a line that touches the circle in only one point?

A tangent to a circle is a straight line which touches the circle at only one point. This point is called the point of tangency. The tangent to a circle is perpendicular to the radius at the point of tangency.

Are 2 circles always congruent?

All circles have the same shape which means they are round. We know that congruent means the same shape but different size. Different circles may have the same or different sizes. All circles are always similar but not congruent.