⛲ Fountain Walkway Challenge

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Type in Game

Calculate the Radius of the Fountain

In a new public park in Mombasa County, there is a circular fountain. A curved walkway is being built around part of the fountain. The walkway follows an arc that is 31.42 m long and makes a 120° angle at the centre of the fountain.

Given:

Arc Length = 31.42 m

Central Angle (θ) = 120°

π = 3.142

Formula:

Arc Length = (θ/360°) × 2πr

Therefore: r = (Arc × 360°)/(θ × 2π)

Find the radius of the fountain.

Fill in the correct answer in the space provided:

Radius (r) =

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