Circle Geometry: Explore, Solve And Apply.
What you'll learn
- Learn how circle geometry is used in other field of study example engineering architecture and medical imaging.
- Explore and prove main theorems related to angles in a circle, cyclic quadrilaterals and tangents
- It will enable student build strong foundation for further study in trigonometry and other advanced branch of mathematics.
- This course will help student understand the properties of circle including diameter, radius, circumference, arc, sector and area.
- This course will help students sharpen their logical reasoning and problem solving skills through exercises and real life problems.
- You will learn about angles formed by chord, tangent and secant and will be able to measure lengths or other parameters that may be involved in the question.
- Student will able to define and identify different constituent of a circle.
- Use the appropriate formula to find the circumference, radius, area , arc of length and area of a sector of a circle.
- Solve questions involving angles in the same segment or angles in alternate segment.
- Find the value of the required angles involving tangent or from external point to a circle.
- Measure angles of cyclic quadrilateral and semi-circle.
- Calculate the angle subtends at the center of a circle or circumference of a circle.
- Find the perpendicular line drawn from the center of a circle or measure the length of a chord.
- Find portion of area or circumference of a circle
- Measure angle, length, volume and area of inscribed plane shape in a circle.
- Measure angle, length, volume and area of circumscribed plane in a circle.
- He or She will be able to use the same theorems in circle geometry to solve multiple questions in semi-circle.
- Student will be able to solve any questions in circle geometry and applications.
Requirements
- Students should have writting materials (Pen, Pencil and Paper).
- Personal Or Desktop Computer Or Smartphone With steady Wifi/Internet Connection.
- Learners should have with them drawing sets (mathset , drawing paper, board and set).
- Quite place is required to enhance the Inflow or understanding of the course.
- A four figure table or scientific calculator is a plus.
- Elementary knowledge of circle is a plus in learning this course but it is an optional requirement.
Description
This course explore the interesting world of cirtcle geometry and its practical applications. You will master essential concepts like angles, arcs, sectors, chords, and segments and learn to apply them into solving real life problems. Circle is fundamental to many fields of study and so, as you poceed deep into the course, you will develop logical reasoning skills as you master the theorems, proofs, relations and other concepts that make up circle geometry.
It is a comprehensive course in circle geometry. The introductory lecture begins with extensive definition of circle,its constitutents and explanation of theorems associated with circle geometry. You will learn about radius and diameter of a circle,circumference of a circle,length of arc (minor and major arc)of a circle, a chord,area of a sector ,segment (minor and major segment) of a circle and center of a circle. The circle theorems covered in the lectures include angles in the same segment, angle in a semi-circle,perpendicular line drawn from the center to a chord, cylic quadraliteral,angle at center vs angle at the circumference, tangent to a circle,angles in alternate segment and tangent from an external point. Examples are given for each theorem to help the student learn where the theorem is use.
Subsequent lectures generally include the application of circle geometry with plane shapes (square,rectangle,triangle,cube,cuboid,other polygons,cylinder, pyramid,sphere and so on). It is not limited to inscribing or circumscribing plane shape in a circle but situations like tangent to or distance of the plane shape from a circle are covered in the course. The main areas of interest include geometric problems leading to angle, length, area and volume measuration, circumscribing plane shapes in a circle and semi-circle commonly use to find the radius,area of a circle, finding the length of an arc of a circle or semi-circle ,area of sector,inscribing a plane shapes in a circle or semi-circle,finding the length,area or portion of area of the plane shape, circle or semi-circle. Solving problems relating to circle or semi-circle and polygons. Appollinu's and Descarte's theorem are use to solve some questions in application of circle geometry. Inscribing or circumscribing square,triangle and rectangle are frequently used in the application of circle geometry in relation to plane shapes. It is an interesting course that every student that wants to excel in circle geometry must study.
Who this course is for:
- These course is designed to cover wide range of learners interest from junior to senior secondary school.
- University or Tertiary student will find this course extremely useful in learning circle geometry.
- Researcher in this area of endeavour will definitely find the course an indispensable access for research purpose.
- Examinable students in mathematics will find this course useful for quick revision and mastering the concept of Circle Geometry.
- Anyone willing to broaden his/her knowledge in this field of mathematics or who is ready to Learn from beginning to advanced level.
Instructor
- 0.0 Instructor Rating
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- 1,670 Students
- 6 Courses
I am a graduate of Electrical And Electronics Engineering with second class upper division. I have over seven years experience in teaching Mathematics to students of all level. Also, My textbook in Mathematics and Advanced Mathematics for secondary school and A-Level students for quick preparation for examination and reference has over thousand usage in different schools.
On the otherhand, I am a website creator and a team player, who listen attentatively and help somebody get through his/her issue both in mathematics and other real life problem.
In conclusion, teaching mathematics is something I developed early love to do and over the years, I have mastered the basic to advanced level of it and I am willing to teach others the same principles are used to get where I am today.