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Name: Module 5: Parts of a Circle and Angle Formulas Date: Period: Circle Vocabulary Circle The of all points that are from a fixed point called the . Arc Part of a circles . Major Arc Greater than.

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Rule 6. The tangents from the same point to a circle are equal in length. Two tangents (a line touching a single point on the circumference) drawn from the same outside point are always equal in length.

The parts of a circle are the radius, diameter, circumference, arc, chord, secant, tangent, sector and segment. A round plane figure whose boundary consists of points equidistant from a fixed point. The centre of the circle is the fixed point from which all points on the boundary of the circle are equidistant.

Angles Formulas at the center of a circle can be expressed as, Central angle, θ = (Arc length × 360º)/(2πr) degrees or Central angle, θ = Arc length/r radians, where r is the radius of the circle.

The relationship between central angle, arc length, and sector area DescriptionFormula/quantityCircumference of a circleC = 2 π r C=2\pi r C=2πrArea of a circleA = π r 2 A=\pi r^2 A=πr2Number of degrees of arc in a circle360

The arc length of a circle can be calculated with the radius and central angle using the arc length formula, Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.

Circle Theorem 1: The alternate segment The angle that lies between a tangent and a chord is equal to the angle subtended by the same chord in the alternate segment.

Now for the theorems: The angle at the centre is twice the angle at the circumference. The angle in a semicircle is a right angle. Angles in the same segment are equal. Opposite angles in a cyclic quadrilateral sum to 180° The angle between the chord and the tangent is equal to the angle in the alternate segment.

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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
Content Takedown Policy
Bug Bounty Program
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
Industries
Forms in Spanish
Localized Forms
State-specific Forms
Forms Kit
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
+1 833 426 79 33
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232