🍰 Fan-Shaped Cake Challenge

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Drag and Drop Game

Calculate the Radius of the Cake

A baker is designing a cake shaped like a circular fan. The curved edge of the fan (the arc) measures 18 cm and the central angle of the fan is 120°.

r = ? 120° Arc = 18cm 🍒 🍓
Given:
Arc Length = 18 cm
Central Angle (θ) = 120°
π = 3.142
Formula:
Arc Length = (θ/360°) × 2πr
Therefore: r = (Arc × 360°)/(θ × 2π)
Find the radius of the circular cake from which the fan-shaped piece is cut. Convert your answer to 1 decimal place.
Drag and drop the correct response for the following question:
Radius (r) =
Drop answer here
cm
8.6
68
86
8
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