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All about Circle Geometry

Did you know that when compared to other shapes that have the same area, a circle would have the smallest perimeter? Learn why and more details about how to calculate various geometrical aspects of a circle.

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Definition of Circle Geometry:

Circle geometry is a branch of mathematics where we study the properties of circles. Some important aspects of circle geometry are: applying properties of segments intersecting circles, using the relationship between angles in circles, using circles in a coordinate plane.

 

Top things to learn under circle geometry from the online tutor

Learn below all the possible concepts about circles you may expect in your geometry exams in simple terms.
 

  • What is a circle?
  • Radius and Diameter
  • Circumference of the Circle
  • Circle Theorems
  • Area of a Circle
  • Tangent
  • Arc length of a circle
  • The formula for the arc length of a circle
  • Chord of a circle
  • Area of a sector of a circle
  • The angle of a sector of a circle
  • Inscribed Angles

 

Circle Geometry Frequently Asked Questions:

Question 1: What is a circle in geometry?

In geometry, a circle could be defined as a two-dimensional graphical representation of locus of points that are equal distance from a fixed point called as center.
 

Circle

 

Question 2: What is the center of a circle called in geometry?

The center of a circle is a point that lies in the middle of the circle. It is also referred to as the focus of the circle.

 

Question 3: What are the 8 circle theorems?

Following are the name of 8 circle theorems.


Angle at the Centre, Angles in a Semicircle, Angles in the Same Segment, Cyclic Quadrilateral, Radius to a Tangent, Tangents from a Point to a Circle, Tangents from a Point to a Circle II, Alternate Segment Theorem.

 

Question 4: How do you solve a circle in geometry?

To solve problems related to circles in geometry, a good understanding of the circle theorem is necessary.


For example, to solve the unknown angle in the following figure, we could use one of the circle theorems.
 

Circle 2


In the above figure, Angle at the Centre theorem will help to determine the value of the unknown angle.


As per the theorem, the angle at the center is two times greater in measurement than the angle at the circumference.


So, m∠AOC = 2 (m∠ABC)


97° = 2(mABC)


m∠ABC = 48.5°

 

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