Answer:
The arc length of a central angle is 6.28 inches.
Step-by-step explanation:
Given : A central angle of 90° in a circle whose radius is 4 inches.
To find : The arc length of a central angle?
Solution :
The formula to find arc length is given by,
[tex]\text{Arc length}=\text{Radius}\times \text{Angle}^\circ \times \frac{\pi}{180}[/tex]
We have given,
Radius = 4 inches
The central angle = 90°
Substitute the value in the formula,
[tex]\text{Arc length}=4\times 90 \times \frac{\pi}{180}[/tex]
[tex]\text{Arc length}=2\pi[/tex]
[tex]\text{Arc length}=6.28[/tex]
Therefore, The arc length of a central angle is 6.28 inches.
