What is a straight line that touches a circle called?
A straight line touching a circle is called a tangent. The following is the image of a tangent to a circle with center C and radius AC. The tangent touches the circle at only one point - A. A tangent is always perpendicular to the radius of a circle at the point of contact, as can be seen in the figure too.
How to find two points of intersection of a circle?
We obtain two points of the intersection if a line intersects or cuts through the circle, as shown in the diagram below. We can see that in the above figure, the line meets the circle at two points. This line is called the secant to the circle. 2.
Can a single point be an infinite circle?
Clearly a single point is not an infinite line, and they're both certainly not circles. The flaw in your argument is that "the polygon formed when side lengths go to zero and the number of lines goes to infinity" cannot be uniquely described as a circle. "Clearly a single point is not an infinite line, and they're both certainly not circles."
How do you find the general form of a circle?
The general form of a line can be given by a x + b y + c = 0. The general equation of the circle with centre ( h, k) and radius r is ( x – h) 2 + ( y – k) 2 = r 2 The distance from a point ( m, n) to the line, a x + b y + c = 0 is given by d = | a m + b n + c | a 2 + b 2 1.
What is the difference between a chord and a tangent?
A chord is a straight line inside the circle that touches the circumference at 2 points but does not touch the centre of a circle. A tangent is a straight line outside the circle that touches the circumference at one point only. A segment is the area enclosed by a chord and an arc (it looks similar to the segment of an orange or grapefruit).
What is the difference between a segment and a sector?
A segment is the area enclosed by a chord and an arc (it looks similar to the segment of an orange or grapefruit). A sector is the area enclosed by 2 radii (radius) and an arc ( It looks like a slice of cake or pizza).
What is the name of the circle that cuts the circumference of a circle in half?
If it is less than half of the circumference it is called a minor arc. The diameter cuts the circle exactly in half and goes through the centre. The radius is half the length of the diameter and is joined to the centre at one end.
What is the circumference of a circle?
The circumference (or perimeter) of a circle is made of many points that are all the same distance (equidistant) from the centre of the circle. An arc is part of the circumference of a circle. If the arc is over half of the circumference then it is called a major arc. If it is less than half of the circumference it is called a minor arc.
How many parts are there in a circle?
A circle is a round 2D shape made from one continuous side. There are eight different parts of a circle. Some of these parts are connected. A short video explaining the parts of a circle.
What is the equation for the circle with the center and radius?
The general equation of the circle with centre ( h, k) and radius r is ( x – h) 2 + ( y – k) 2 = r 2
How many points does a line touch a circle?
2. If the distance equals the radius, i.e., d = r, the line will touch the circle at only one point.
What is a straight line touching a circle called?
A straight line touching a circle is called a tangent . The following is the image of a tangent to a circle with center C and radius AC. The tangent touches the circle at only one point - A.
What is a line touching a circle at a point called?
A line touching a circle at a point is called the tangent to that point and it makes an angle 90 degrees with the centre of the circle.
How many tangents can be drawn from a point inside a circle?
Further, no tangents can be drawn from a point inside a circle, only 1 tangent can be drawn from a point on the circumference of the circle and only 2 tangents can be drawn from a point outside a circle. Also, a circle can have infinite number of tangents touching it's circumference.
How many tangents can be drawn to a circle from an external point?
Only 2 tangents can be drawn to a circle from an external point and both of them are perpendicular to the radii of the circle.
What is the angle of a tangent?
A tangent is always perpendicular to the radius of a circle at the point of contact, as can be seen in the figure too. Here angle A is 90 degree, which is the point of contact. The following is a figure of 2 tangents to a circle from an external point.
What is a line segment touching the circle at one point and also touches the center?
However a line segment touching the circle at one point and also touches the center is a radius.
What is the line joining the center of the circle to the external point?
Also, the line joining the center of the circle to the external point is the angle bisector of the angle between the tangents.
Plane Shape
- As we know a plane is a two-dimensional shape or object which has no thickness. They can be extended into infinity. The lines of the plane objects or figures can be straight, curved, or both of them in combination. Some of the examples of plane shapes are rectangle, square, rhombus, etc. There are five basic plane shapes mentioned below: 1. Rectangle 2. Circle 3. Triangle 4. Rhombu…
What Is A Circle?
- The circle is a plane figure connected with different points having no edges or corners. They are round in shape. Coin, dinner plate, wheels, etc are some of the real-life examples of circles. Circles are considered a plane shape because it has no thickness and can be extended to infinity. Properties of Circle 1. The diameter of the circle is the longest chord. 2. The radius which is perp…
Is A Circle A Straight Line?
- Answer: The line which is placed at 180 degrees is a straight line. And, when we see a circle, it has uncountable or infinite numbers of sides and internal angles measured as 180 degrees. The interior angle of a circle is also 180 degrees which means equal to a straight line. Hence, a circle is a straight line.
Sample Questions
- Question 1. Which is the longest chord of the circle? Answer: Question 2. What can be considered as the right angle in a circle? Answer: Question 3. Which line in a circle bisects the chords? Answer: Question 4. How many edges does a circle have? Answer: Question 5. Why are circles considered to be infinite? Answer: