Question

What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth. A circle is shown. 2 rays form an angle of 45 degrees. The length of the rays is 8 inches. Arc s contains the angle measuring 45 degrees.

Answer 1

The length of the arc s is 6.283 inches.

Length of an Arc

The length of an arc is given by the formula,

$\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}$

where

θ is the angle, which arc creates at the center of the circle in degrees.

Given to us,

Radius, r = 8 in.

Angle, θ = 45°,

Length of the Arc

$\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}$

$\rm{ Length\ of\ the\ Arc\ s = 2\times \pi \times(8)\times\dfrac{45}{360}$

$\rm{ Length\ of\ the\ Arc\ s =6.283\ inches.$

Hence, the length of the arc s is 6.283 inches.

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Answer 2

The approximate length of arc s on the given circle is; 6.28inches

Length of an arc.

The length of an arc is given by the formula;

• L = (a/360) ×2πr.

• where, a = angle subtended by the arc

• r = radius of the circle.

Therefore,

Length, L = (45/360) × 2 × 3.14 × 8

• L = 50.24/8

• L = 6.28 inches

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