Question

9. What is the length, to the nearest tenth meter, of an arc with measure 45° in a circle with radius 5 meters?​

Answer 1

The length of the arc is 3.9 meters to the nearest tenth

Explanation:

The formula of the length of an arc of a circle is L =
`(x)/(360)` × 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 =
`(45)/(360)` × 2π × 5

∴ L =
`(1)/(8)` × 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