Answer:
Radius ≈ 11.364 cm
Step-by-step explanation:
Step 1: Convert the central angle from degrees to radians:
Radians = \(\frac{\pi}{180} \times 20°\)
Radians = \(\frac{\pi}{9}\)
Step 2: Substitute the given values into the formula and solve for the radius:
Arc Length = Radius \(\times\) Central Angle
40 cm = Radius \(\times\) \(\frac{\pi}{9}\)
To solve for the radius:
Radius = \(\frac{40 \, \text{cm}}{\frac{\pi}{9}}\)
Radius = \(40 \, \text{cm} \times \frac{9}{\pi}\)
Therefore, the radius is approximately 11.364 cm.
