If the sectorial angle with radius 9.6 units is 75°, what is the length of the arc?

Question

Accepted Answer

The formula for the length of an arc (L) of a circle is given by:

L = (θ/360) × 2πr

where θ is the sectorial angle in degrees and r is the radius.

Given:  
θ = 75°  
r = 9.6 units

Substitute the values:  
L = (75/360) × 2 × π × 9.6  
  = (75/360) × 19.2π  
  = (5/24) × 19.2π  
  = 4π

Therefore, the length of the arc is 4π units.

Answer

Answer

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