MO MAP Geometry Circles. Practice it free.

Analyzes arc length, angle measures, and relationships among chords, tangents, and secants. This Geometry reporting domain maps to 2 practice skills and 8 representative questions from the playable bank.

Geometry2 mapped skills
What the test measures

Circles skills

  1. Understand and apply theorems about circles

  2. Find arc lengths and areas of sectors of circles

Standards basis

Missouri Learning Standards (Mathematics K-5 and Mathematics 6-12; revised standards approved April 19, 2016) — Missouri

How the MO MAP reports it

Missouri’s MAP math is built from the Missouri Learning Standards and the state’s item specifications, not from a separate national testing framework. The standards are closely CCSS-aligned in structure, with grade-level and course-level domains used as the native reporting/coverage structure.

Blueprint & weighting

Missouri publishes grade-level and EOC blueprints, but the accessible official pages in this pass did not expose the domain-by-domain percentage tables. The assessment page states that item specifications organize expectations by domains/strands and that blueprints are available for grade-level and EOC assessments.

Practice by skill

Topics mapped to this domain

Advanced area formulas

Grade 1015 questions

Perimeter and arc length

Grade 1015 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

Find the area of a sector with radius 44 and central angle 60°60°. Use π=3\pi = 3.

Sector area =60360×πr2=60360×3×16=8= \dfrac{60}{360} \times \pi r^2 = \dfrac{60}{360} \times 3 \times 16 = 8.

Practice playeasy

Find the arc length of a 90°90° arc on a circle with radius 22. Use π=3\pi = 3.

L=90360×2πr=14×2×3×2=3L = \dfrac{90}{360} \times 2 \pi r = \dfrac{1}{4} \times 2 \times 3 \times 2 = 3.

Practice playeasy

A triangle has sides 55, 1212, and 1313. What is its area?

This is a right triangle (55-1212-1313). Area =12×5×12=30= \dfrac{1}{2} \times 5 \times 12 = 30.

Practice playeasy

A semicircle has radius 1010. Its curved edge has length kπk\pi. What is the value of kk?

Half the circumference is 12⋅2π⋅10=10π\dfrac{1}{2} \cdot 2 \pi \cdot 10 = 10\pi, so k=10k = 10.

Practice playeasy

A rhombus has diagonals of length 1010 and 1212. What is its area?

Area =12×10×12=60= \dfrac{1}{2} \times 10 \times 12 = 60.

Practice playeasy

Find the arc length of a 90°90° arc on a circle with radius 44. Use π=3\pi = 3.

L=90360×2πr=14×2×3×4=6L = \dfrac{90}{360} \times 2 \pi r = \dfrac{1}{4} \times 2 \times 3 \times 4 = 6.

Practice playeasy

A right triangle has legs 88 and 1515. What is its area?

Area =12×8×15=60= \dfrac{1}{2} \times 8 \times 15 = 60.

Practice playeasy

A triangle has sides 77, 1010, and 1212. What is its perimeter?

P=7+10+12=29P = 7 + 10 + 12 = 29.

Keep practicing

Turn circles into game time.

The MO MAP placement starts with this test's real coverage map and finds the right difficulty.

Batting Cage game coverBatting CagePlay →Blossom Leap game coverBlossom LeapPlay →Buzzer Beater game coverBuzzer BeaterPlay →Minecart Junction game coverMinecart JunctionPlay →
Related Common Core standards
HSG.C.B.5
The same skills on other tests
ATLASDC CAPEMCAPNY State Math
Source and test overview
All MO MAP prepOfficial test source
Reporting categories

More Geometry domains

CongruenceProves and uses congruence properties and transformational geometry.8 QsPractice →Similarity, Right Triangles, and TrigonometryUses similarity relationships, the Pythagorean theorem, and trigonometric ratios.8 QsPractice →Expressing Geometric Properties with EquationsUses coordinates and equations to prove geometric relationships and compute measures.8 QsPractice →Geometric Measurement and DimensionDerives and applies formulas for area, volume, and surface area in geometric contexts.8 QsPractice →Modeling with GeometryUses geometry to model and solve real-world and applied problems.8 QsPractice →