MA.912.G.6.5 Measures of Circles
Two-Dimensional
MA.912.G.1.1 Line Segments
MA.912.G.1.3 Parallel Line ∠s
MA.912.G.2.2 ∠ s of Polygons
MA.912.G.2.3 Prop of Polygons
MA.912.G.2.4 Transformations
MA.912.G.2.5 Perimeter & Area
MA.912.G.3.3 Prop of Quads
MA.912.G.3.4 Quad Theorems
MA.912.G.4.6 ~ & 
MA.912.G.4.7 Inequality Theo
MA.912.G.5.4 Right Triangles
MA.912.G.6.5 Circle Measures
MA.912.G.6.6 Circle Equations
MA.912.G.8.4 Conjectures
Three-Dimensional
Trig & Discrete Math
In Your Text
Section 10-1; 683-691
Section 10-2; 692-700
Section 11-3; 701-708
What You Need To Know...
Circumference, arc length, and areas of circles and sectors.
- The benchmark will be assessed using MC (Multiple Choice) and FR (Fill in Response) items.
- All angle measurements will be in degrees.
- Formal or informal proofs completions may be required.
- Items may include references to circumference, radius, diameter, arc, arc length, chord, secant, tangent and concentric circles.
- 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.
To the nearest whole inch, what is the perimeter of Allison's design?
- 15 inches
- 20 inches
- 24 inches
- 31 inches
Example Two
Kayla inscribed kite ABCD in a circle, as shown below.
If the measure of arc ADC is 255° in Kayla's design, what is the measure, in degrees, of ∠ ADC?
Additional Examples
