What Are the Corners and Sides of a Circle? Detailed Guide
The majority of the things we come up with may be categorised by simple shapes. A closed, two-dimensional, or flat form is referred to as a plane shape. Different plane shapes have different properties, such as different numbers of sides or corners. Where two sides converge is referred to as a corner or vertex. An element of geometry known as a side is a straight line.
In this article, we will briefly discuss the circle and the corners and sides of plane figures. Squares, triangles, and circles are examples of two-dimensional shapes known as planes. Sides are the straight lines that make up a plane form. Corners are the places where two sides converge.
Corner and Sides of Plane Shapes
What are Plane Shapes?
A shape can be defined as the boundary or outline of an object. A plane shape is a two-dimensional closed figure that has no thickness. A plane in geometry is a flat surface that extends into infinity in all directions. It has infinite width and length, zero thickness, and zero curvature.
Various 2D Shapes
Look at a piece of paper. Its length and width are visible. These are the length and width, sometimes known as the two dimensions. There is no depth in a shape that is only two dimensions. When straight or curved lines are connected, a closed shape known as a 2D shape is produced.
1. Square: Squares are four-sided quadrangles with four equal sides and four right angles.
Square
Number of Sides = 4
Number of corners = 4
2. Rectangle: A rectangle is a quadrilateral having four right angles and two sets of equal and parallel opposite sides.
Rectangle
Number of Sides = 4
Number of corners = 4
3. Triangle: A closed triangle has three sides, three angles, and three vertices.
Triangle
Number of Sides = 3
Number of corners = 3
4. Oval: The shape of an oval lacks a straight line, a corner, or a side. It has curving lines that form a closed shape.
Oval
Number of Sides = 0
Number of corners = 0
What is a Circle?
A circle is a two-dimensional object made up of points that are spaced out from a given point (centre) on the plane by a fixed or constant distance (radius). The fixed point is referred to as the circle's origin or centre, and the fixed distance between each point and the origin is referred to as the radius. Let's learn more about how many sides are there in a circle.
Circle Corner and Sides
How many Sides are there in a Circle?
A line segment between two locations is referred to as a side. It is impossible to fit a line between the points of a circle because there are infinitely many points which correspond to infinitely many sides. As a result, a circle would technically have no sides. There are no corners and sides in a circle.
Solved Examples
Q1. Help Tanu count the number of sides in the given shape. Is the shape closed or open?
Star
Ans: Count the number of straight lines in the star. There are 10 straight lines.
We can trace the outline of this star without any break. Hence, it is a closed shape.
It is a closed shape with 10 sides and 10 corners.
Q2. What shapes have 4 sides and 4 corners?
Ans: Any quadrilateral will have 4 sides and 4 corners. For example: Squares and Rectangles are shapes that have 4 sides and 4 corners.
Q3. A circle is a polygon with infinitely many sides. Determine whether the following statement is true or false.
Ans: A polygon is a closed-plane figure that has three or more straight sides while a circle is a closed-plane figure with no straight sides. As a result, a circle is not a polygon with infinitely many sides. Hence, the given statement is false.
Practice Problems
Q1. How many sides and corners are there in the octagon?
Ans: 8
Q2. Name the figure with five sides and five corners.
Ans: Pentagon
Q3. Name the shape having infinitely many sides.
Ans: Circle
Summary
Throughout this article, we have discussed the plane figures and circle corners and sides. A circle is defined as a spherical shape without edges or corners. It is a shape formed by a curved line. It's circular, and each point on the curved line is an equal distance from the centre. We also covered various 2D shapes such as squares, rectangles, etc. This article also explains how many sides are there in a circle. We also learn what shapes have 4 sides and 4 corners. We have provided some solved examples and practice problems based on plane figures and circles to boost your concept of plane figures and circles.
FAQs on Circle Corner and Sides Explained: Key Concepts & Shortcuts
1. What is a circle?
A circle is a perfectly round 2D shape. It is made from a single, continuous curved line where every point on the line is an equal distance from the center. It has no straight sides or sharp corners, which is why it can roll smoothly.
2. How many sides and corners does a circle have?
A circle has zero (0) sides and zero (0) corners. In geometry, sides are defined as straight lines that form the boundary of a shape, and corners (or vertices) are the points where these sides meet. Since a circle's boundary is a continuous curve, it has neither.
3. What is the main difference between a circle and a square?
The main differences between a circle and a square are their fundamental properties:
- Shape and Sides: A circle is a round shape with one continuous curved boundary. A square has 4 equal straight sides.
- Corners: A circle has 0 corners. A square has 4 corners (vertices), each at a 90-degree angle.
- Rolling: Because of its round shape, a circle can roll. A square cannot roll due to its flat sides and sharp corners.
4. Can you give some examples of circle-shaped objects we see every day?
Yes, many common objects are shaped like a circle, which helps us understand its properties. Examples include:
- The face of a wall clock
- A car or bicycle wheel
- A coin (like a ₹10 coin)
- A full moon
- A pizza or a chapati
5. If a circle has no corners, how does it form a closed shape?
A circle forms a closed shape because its boundary is a continuous curved line. This means the line smoothly loops back to connect with its starting point without any breaks or the need for a sharp turn at a corner. It's this seamless, endless loop that makes it a closed figure.
6. How is a circle different from an oval?
While both are curved shapes with no corners, a circle and an oval are different. A circle is perfectly symmetrical and round; the distance from its centre to any point on its edge is always the same. An oval, on the other hand, is like a stretched-out circle. It is longer in one direction than the other, similar to the shape of an egg or a running track.
7. Why is it important to understand that a circle has no corners in real-world applications?
Understanding that a circle has no corners is crucial for many real-world applications. The absence of corners allows for smooth, continuous motion, which is why we use circles for wheels, gears, and bearings. If a wheel had corners, it would create a bumpy ride and stop moving easily every time a corner hit the ground.
8. True or False: A rectangle has corners but a circle does not.
This statement is True. A rectangle is a polygon with four straight sides that meet at four distinct points, creating four corners. A circle, being a continuous curve, has no corners at all.
