Answer:
The length of the arc is 3.9 meters to the nearest tenth
Step-by-step explanation:
The formula of the length of an arc of a circle is L = [tex]\frac{x}{360}[/tex] × 2πr , where x is the measure of the arc and r is the radius of the circle
∵ The measure of the arc is 45°
∴ x = 45°
∵ The radius of the circle is 5 meters
∴ r = 5 meters
- Substitute the values of x and r in the formula of the length
of an arc above
∵ L = [tex]\frac{45}{360}[/tex] × 2π × 5
∴ L = [tex]\frac{1}{8}[/tex] × 10π
∴ L = 3.92699
- Round it to the nearest tenth
∴ L = 3.9 meters
The length of the arc is 3.9 meters to the nearest tenth
