MCAP Geometry Circles. Practice it free.

Measures circle theorems, arc lengths, and sector areas. This Geometry reporting domain maps to 2 practice skills and 8 representative questions from the playable bank.

GeometryContent Subclaim2 mapped skills
What the test measures

Circles skills

  1. G.C.A Understand and apply theorems about circles.

  2. G.C.B Find arc lengths and areas of sectors and circles.

Standards basis

Maryland College and Career Ready Standards for Mathematics (MCCRSM) — Maryland

How the MCAP reports it

MCAP is Maryland's statewide successor to PARCC, built on the Maryland College and Career Ready Standards for Mathematics (which mirror CCSS-M) — it is not a Smarter Balanced administration despite the claims-style family resemblance. Each grade/course High Level Blueprint (September 2022) organizes the assessment into three subclaims: Content (23-24 one-point machine-scored items, listed per domain/conceptual category as MCCRSM cluster headings), Reasoning (6 items), and Modeling (6 items), the latter two defined by per-grade evidence statements and including constructed-response items. Cluster headings are transcribed verbatim from the blueprints, including their minor typographical deviations from the parallel CCSS-M headings; two evident misprints are normalized (a duplicated sentence fragment on 4.OA.C, and the domain codes printed as G.P.E / T.TF for G.GPE / F.TF). Since March 2025, grade 6-7 students enrolled in a high-school mathematics course may take the corresponding MCAP course assessment instead of the grade-level test.

Blueprint & weighting

Each High Level Blueprint (September 2022) publishes per-domain operational item counts. Content Subclaim (1-point machine-scored items): Grade 3 — OA 7, NBT 2, NF 7, Measurement 5, Geometry 2 (23 items); Grade 4 — OA 4, NBT 5, NF 10, Measurement 3, Geometry 1 (23); Grade 5 — OA 2, NBT 6, NF 9, Measurement 4, Geometry 2 (23); Grade 6 — RP 3, NS 8, EE 8, Geometry 2, SP 2 (23); Grade 7 — RP 8, NS 4, EE 5, Geometry 3, SP 3 (23); Grade 8 — NS 2, EE 10, Functions 5, Geometry 4, SP 2 (23); Algebra I — Number and Quantity 1, Algebra 12, Functions 9, Statistics 2 (24); Geometry — G.CO 7, G.SRT 8, G.C 3, G.GPE 3, G.GMD 1, G.MG 1 (23); Algebra II — Number and Quantity 3, Algebra 8, Functions 11, Statistics 1 (23). Every assessment adds 6 Reasoning Subclaim and 6 Modeling Subclaim operational items — four 1-point machine-scored each, plus two constructed-response items (two 3-point in grades 3-4; one 3-point and one 4-point in grades 5-8; two 4-point in Algebra I, Geometry, and Algebra II) — so a form carries 35 operational items (36 for Algebra I).

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

A rhombus has diagonals of length 66 and 88. What is its area?

Area of a rhombus =12×d1×d2=12×6×8=24= \dfrac{1}{2} \times d_{1} \times d_{2} = \dfrac{1}{2} \times 6 \times 8 = 24.

Practice playeasy

Find the arc length of a 90°90° arc on a circle with radius 66. Use π=3\pi = 3.

L=90360×2πr=14×2×3×6=9L = \dfrac{90}{360} \times 2 \pi r = \dfrac{1}{4} \times 2 \times 3 \times 6 = 9.

Practice playeasy

A right triangle has legs 66 and 88. What is its area?

Area =12×6×8=24= \dfrac{1}{2} \times 6 \times 8 = 24.

Practice playeasy

Find the arc length of a 180°180° arc on a circle with radius 33. Use π=3\pi = 3.

L=180360×2πr=12×2×3×3=9L = \dfrac{180}{360} \times 2 \pi r = \dfrac{1}{2} \times 2 \times 3 \times 3 = 9.

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.

Keep practicing

Turn circles into game time.

The MCAP 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 CAPEMO MAPNY State Math
Source and test overview
All MCAP prepOfficial test source
Reporting categories

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