⭕ Circles

Arc Length

Arc = (angle/360) × circumference

Updated July 2026

FAQs

What is Arc Length?

Arc Length (arc length) is a circles relationship written as Arc = (angle/360) × circumference or L = (θ/360) × 2πr. Students use it to solve unknowns when enough values are known.

How do you calculate Arc Length step by step?

Write Arc = (angle/360) × circumference, substitute the known numbers carefully, then simplify. Worked walkthrough: θ = 90° r = 7 L ≈ (90/360)×43.96 ≈ 10.99.

When is Arc Length taught in school?

Arc Length usually appears in circles units during middle or secondary school. Match difficulty with MathDigits grade worksheets so practice fits the curriculum year.

What is a real example of Arc Length?

On this page the worked result is ≈ 10.99. Generate a formula worksheet below for more unique practice sets.