Logo
All Calendars Athletic District Calendar Events School Calendar 2016-2017 Testing Calendar 2016-2017 Graduation Dates 2016-2017 School Calendar 2017-2018 Graduation Dates 2017-2018
Contacts Directory Accounting Operations Affirmative Action Alternative Education Athletics Behavior Education Support Team (BEST) Budgeting Certification Community Involvement Office Continuous Improvement Court Liaison Curriculum and Instruction Elementary Education Energy Management English Language Arts Escambia County Public Schools Foundation ESOL Evaluation Services Exceptional Student Education Facilities Planning FDLRS Finance and Business Services Fine Arts Focus Training Food Services General Counsel Guidance Services Health Services High School Education Human Resource Services Information Technology Internal Auditing Maintenance and Custodial Services Math MediaServices Middle School Education Operations Payroll & Benefits Accounting PBS Physical Education Professional Learning Department Protection Services Psychological Services Public Relations Purchasing Department Risk Management & Benefits Roy Hyatt Environmental Center School Choice School Records School Social Workers Science_ECSD Social Studies Student Services Title I Transportation Warehouse Wellness Workforce Education Teaching Employment Opportunities
School Listing Page Elementary Schools Middle Schools High Schools Alternative Schools Virtual Academy School Listing with Contact Info Bus Transportation Info Enroll in a School Find Your School
School Board
Superintendent
AeSOP Board Meeting Information Bus Transportation Committees ECSD Meeting Info Email Employee Pay Stub - Skyward Employment Information Financial Information Find Your School Focus Gradebook Free & Reduced Meal Application Meal Payments My Links Risk Management & Benefits School Choice Information Schoolnet School Violence Staff Students Student of the Month Student Online Registration Teacher Resources Page TrueNorthLogic Vendors

MA.912.G.6.5 Measures of Circles

What You Need To Know...

Circumference, arc length, and areas of circles and sectors.

  1. The benchmark will be assessed using MC (Multiple Choice) and FR (Fill in Response) items.
  2. All angle measurements will be in degrees.
  3. Formal or informal proofs completions may be required.
  4. Items may include references to circumference, radius, diameter, arc, arc length, chord, secant, tangent and concentric circles.
  5. Items may include central angles, inscribed angles and intersections of secants and tangents.

Example One

Allison created an embroidery design of a stylized star emblem.  The perimeter of the design is made by alternating semicircle and quarter-circle arcs.  Each arc is formed from a circle with a 2½-inch diameter.  There are 4 semicircle and 4 quarter-circle arcs, as shown in the diagram below.

6-5.jpg

To the nearest whole inch, what is the perimeter of Allison's design?

  1. 15 inches
  2. 20 inches
  3. 24 inches
  4. 31 inches

CLICK HERE FOR SOLUTION

Example Two

Kayla inscribed kite ABCD in a circle, as shown below.

6-5B.jpg

If the measure of arc ADC is 255° in Kayla's design, what is the measure, in degrees, of  ∠ ADC?

Blank Grid.jpg

 CLICK HERE FOR SOLUTION

Additional Examples

coming-soon_gif.jpg

VideoTutorial_banner.JPG

Circle Basics

This text will be replaced

Area of a Circle

This text will be replaced

Concentric Circles

This text will be replaced

Arc Measure & Arc Length

This text will be replaced

Chord Properties

This text will be replaced

Central & Inscribed Angles

This text will be replaced

Secants and Tangents

This text will be replaced

Reference Sheet

reference.JPG