Answer:
[tex]Length = 6.11\ cm[/tex]
Explanation:
Given
[tex]\theta = 70\°[/tex]
[tex]Radius, r = 5cm[/tex]
Required
Determine the length of the subtended arc
Length of an arc is calculated by;
[tex]Length = \frac{\theta}{360} * 2\pi r[/tex]
Substitute [tex]\theta = 70\°[/tex] and [tex]r = 5cm[/tex]
[tex]Length = \frac{70}{360} * 2\pi *5[/tex]
[tex]Length = \frac{70* 2\pi *5}{360}[/tex]
[tex]Length = \frac{700 \pi}{360}[/tex]
Take π as 22/7
[tex]Length = \frac{700}{360} * \frac{22}{7}[/tex]
[tex]Length = \frac{700 * 22}{360 * 7}[/tex]
[tex]Length = \frac{15400}{2520}[/tex]
[tex]Length = 6.11\ cm[/tex]
Hence, the length of the arc is approximately 6.11 cm
