Answer:
7.85 m (3 significant figures)
Step-by-step explanation:
Formula: arc length = [tex]2\pi r(\frac{\theta}{360} )[/tex]
The radius of a circle is half the diameter, so r = 10 ÷ 2 = 5
Therefore, arc length = 2 x [tex]\pi[/tex] x 5 x [tex](\frac{90}{360} )[/tex]
= [tex]\frac{5}{2}\pi[/tex]
= 7.853981634...
= 7.85 m (3 significant figures)
