# Circle Theorems: What Are They? Describe The Various Circle Theorems

Assignment Help   9th May 2023

Circle theorems are a set of rules and formulas that apply to circles and their components. They are an essential topic in mathematics and geometry, and form the basis of many mathematical concepts. In this blog post, we will explore the different types of circle theorems and their applications.

Before we dive into the circle theorems Assignment Help themselves, let's first review some basic terminology related to circles. A circle is a two-dimensional shape that consists of all points that are equidistant from a given point called the center. The distance from the center to any point on the circle is called the radius. The diameter is the distance across the circle through the center, and it is twice the length of the radius.

Now let's move on to the circle theorems. There are several types of circle theorems, including angle theorems, tangent theorems, and chord theorems. Each type of theorem is useful in solving different types of problems.

## Angle Theorems:

Angle at the center theorem: The angle at the center of a circle is twice the angle at the circumference that it subtends.

Angles in the same segment theorem: The angles that are subtended by the same arc in a circle are equal.

Angles in a semicircle theorem: The angle subtended by a diameter of a circle is a right angle.

### Tangent Theorems:

Tangents from an external point theorem: If a line is drawn from a point outside a circle to the circle, then the two tangents drawn to the circle from that point are equal in length.

Tangents to a circle from a point theorem: If two tangents are drawn to a circle from an external point, the tangents are equal in length.

### Chord Theorems:

Intersecting chords theorem: If two chords intersect within a circle, the products of the lengths of the segments of one chord are equal to the products of the lengths of the segments of the other chord.

Equal chords theorem: Chords that are equal in length are equidistant from the center of the circle.

Perpendicular bisector theorem: The perpendicular bisector of a chord passes through the center of the circle.

These are just a few examples of the many circle theorems that exist. Each theorem has its own unique application and can be used to solve different types of problems. You can get best cheap assignment help australia from BookMyEssay.

In addition to the circle theorems themselves, there are also several formulas and equations that are useful when working with circles. These include the formula for the circumference of a circle, which is C = 2πr, where r is the radius of the circle, and π is a constant value approximately equal to 3.14. The formula for the area of a circle is A = πr^2, where r is the radius of the circle.

So, why are circle theorems important? They are useful in many different fields, including engineering, physics, and even art. For example, architects use circle theorems to design buildings and structures that are both aesthetically pleasing and structurally sound. Engineers use circle theorems to design bridges and other structures that can withstand high levels of stress and strain. Even artists use circle theorems to create works of art that are based on geometric principles.

In conclusion, circle theorems are an essential topic in mathematics and geometry. They provide a set of rules and formulas that can be used to solve a wide range of problems related to circles and their components. Whether you are an engineer, architect, artist, or mathematician, understanding circle theorems is essential for success in your field. If you need help with circle theorems assignment writing help, there are many resources available online.

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