fsugg2344 fsugg2344
  • 26-05-2021
  • Mathematics
contestada

A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle

Respuesta :

adefunkeadewole adefunkeadewole
  • 27-05-2021

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

Answer Link

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