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Find the arc length of an arc to the nearest tenth that creates a central angle of 45° in a circle with a radius of 8m

Respuesta :

gustanika
The arc length can be determined with this formula
arc length = central angle/360° × perimeter of circle

First, find the perimeter of the circle
p = 2 × π × r
p = 2 × 3.14 × 8
p = 50.24 m

Second, find the arc length
arc length = central angle/360° × perimeter of circle
arc length = 45°/360° × 50.24
arc length = 1/8 × 50.24
arc length = 6.28

Round to the nearest tenth, the arc length is 6.3 m
akposevictor

The length of the arc, to the nearest tenth is: 6.3 m.

What is the Length of an Arc?

Length of arc can be determined using the formula, ∅/360 × 2πr.

Given:

  • Central angle (∅) = 45°
  • Radius (r) = 8 m

Find the Length of the Arc:

Length of arc = ∅/360 × 2πr

  • Substitute

Length of arc = 45/360 × 2π(8)

Length of arc = 6.3 m (nearest tenth).

Learn more about Length of arc on:

https://brainly.com/question/2005046

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