Answer:
Measure of the arc = 14.32°
Step-by-step explanation:
Radius of a circle = 4 cm²
Area of the circle = πr²
Here, r = radius of the circle
Area of the circle = π(4)²
= 16π cm²
= 50.265 cm²
Since, area of a sector = [tex]\frac{\theta}{360}(\text{Area of the circle})[/tex]
Here, θ = Central angle subtended by the arc Or measure of arc
Area of the sector given as 2 cm²
2 = [tex]\frac{\theta}{360}(50.265)[/tex]
θ = 14.32°
Therefore, measure of the arc = 14.32°.
