✏️ Arc Length & Sector Area: Practice A (G-C.B.5)

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Derive and use arc length and sector area formulas. Solve each problem.

1. Arc: radius 7, central angle 72°. Length (exact)?

2. Sector: radius 2, central angle 90°. Area (exact)?

3. Arc: radius 9, central angle 45°. Length (exact)?

4. Sector: radius 8, central angle 240°. Area (exact)?

5. Arc: radius 7, central angle 60°. Length (exact)?

6. Sector: radius 2, central angle 150°. Area (exact)?

7. Arc: radius 15, central angle 60°. Length (exact)?

8. Sector: radius 10, central angle 90°. Area (exact)?

9. Arc: radius 2, central angle 180°. Length (exact)?

10. Sector: radius 13, central angle 240°. Area (exact)?

11. Arc: radius 6, central angle 180°. Length (exact)?

12. Arc: radius 12, central angle 180°. Length (exact)?

Answer key: 1) 2 4/5 (14/5)π · 2) 1π · 3) 2 1/4 (9/4)π · 4) 42 2/3 (128/3)π · 5) 2 1/3 (7/3)π · 6) 1 2/3 (5/3)π · 7) 5π · 8) 25π · 9) 2π · 10) 112 2/3 (338/3)π · 11) 6π · 12) 12π

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Worksheets › Grade 10 Math (Geometry) › Arc Length & Sector Area › Arc Length & Sector Area

Grade 10 (ages 15–16)Numbers & mathsFree printable PDF

About this grade 10 worksheet

Free Grade 10 Geometry math worksheet (Common Core G-C.B.5): arc length & sector area — twelve practice problems, with answer key. Skill: Derive and use arc length and sector area formulas. Level: Grade 10 — also suits Year 11 (UK).

For teachers: skills & standards

CCSS G-C.B.5: Derive and use arc length and sector area formulas
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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It is designed for Grade 10 (ages 15–16), but use it with any child who is ready.

What skills does it build?

Derive and use arc length and sector area formulas.

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More “Arc Length & Sector Area” printables (g-c.b.5: derive and use arc length and sector area formulas)

Arc Length & Sector Area: Practice B (G-C.B.5) · Arc Length & Sector Area: Mixed Practice & Reasoning (G-C.B.5) · Arc Length & Sector Area: Show Your Thinking (G-C.B.5) · Arc Length & Sector Area: Quick Check (G-C.B.5)

All 5 arc length & sector area sheets → · Grade 10 Math (Geometry): all 10 skills → · All Common Core grades

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