Answer:
9 cm
Step-by-step explanation:
Arc length = θ/360 × 2πr
A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle
Hence,
3π = 120/360 × 2πr
Diameter = 2r
3π = 1/3 × 2πr
Cross Multiply
9π = 2πr
2r = 9π/π
Note that :
Diameter = 2r
Hence,
Diameter = 9 cm
