Arc length AED of a given circle with a radius of 3 units is 11π/4.
According to the given diagram,
The angle subtended by arc AED or central angle = 360°-120°-45°-30° = 165°
The radius of the circle = 3 units
What is the relationship between arc length, central angle and radius?
Arc length = Central angle(in radians) * Radius
So, arc length AED = 165 *π/180 * 3
Arc length AED = 11π/12 * 3 = 11π/4
Therefore, the Arc length AED of a given circle with a radius of 3 units is 11π/4.
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