What is the length of an arc of 140 degrees when the circumference of a circle is 60 cm?

To find the length of an arc, we can use the formula:

Arc Length = (θ/360) × C

where θ is the angle in degrees and C is the circumference of the circle.

Given:

  • C (Circumference) = 60 cm
  • θ (Angle) = 140 degrees

Now we can substitute the values into the formula:

Arc Length = (140/360) × 60 cm

Calculating the fraction:

Arc Length = (0.3889) × 60 cm

Arc Length = 23.3333 cm

Therefore, the length of the arc that subtends an angle of 140 degrees in a circle with a circumference of 60 cm is approximately 23.33 cm.

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