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A day full of math games & activities. Find one near you.

# What is the arc length when θ = 4 pi over 7 and the radius is 5 cm?

**Solution:**

he** **arc length is defined as the interspace between the two points along a section of a curve.

An arc of a circle is any part of the circumference.

The angle subtended by an arc at any point is the angle formed between the two line segments joining that point to the end-points of the arc.

Given, θ = 4π / 7

Radius, r = 5 cm.

We have to find the length of the arc.

Length of arc, L = r × θ

L = 5 × (4π / 7)

L = 20π / 7

Use π = 3.14

L = 20(3.14) / 7

L = 62.8 / 7

L = 8.97 cm

Therefore, the length of the arc is 8.97 cm.

## What is the arc length when θ = 4 pi over 7 and the radius is 5 cm?

**Summary:**

The arc length when θ = 4 pi over 7 and the radius is 5 cm is 8.97 cm.

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