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Arc Length Calculator

⬛ Area & perimeter (2D). Use the Arc length formula to find arc length, angle θ, radius: pick the value you want, type the others, and the answer updates as you go.

L=θ360×2πrL = \dfrac{\theta}{360} \times 2\pi r
Arc length5.236 cm

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Arc lengthcm
Angle θ°
Radiuscm

Worked example

Find the arc length when Angle θ = 60 °, Radius = 5 cm.

Using L = θ/360 × 2π r: Arc length = 5.236 cm.

Frequently asked questions

What is the formula for Arc length?

L = θ/360 × 2π r.

What do the letters stand for, and what units are used?

Arc length in cm, Angle θ in °, Radius in cm.

How do you calculate arc length?

Put the values into L = θ/360 × 2π r. For example, with Angle θ = 60 °, Radius = 5 cm, arc length = 5.236 cm.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (arc length, angle θ, radius) and fill in the others: it rearranges the formula for you.

All maths formulas in the Maths Formulas