Question

Arc cd located on circle a has a central angle of 135 the radius is the circle is 24 centimeters what is the length of arc cd

Answer 1

`\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=24\\ \theta =135 \end{cases}\implies s=\cfrac{(135)\pi (24)}{180}\implies s=18\pi ~cm`

Answer 2

B) 18π cm

Explanation:

Step 1

Given:

Central angle θ=135°

Radius of circle r=24 cm

Length of arc CD =θ360°(2πr)

Step 2

l=135°360°×2π×24

l=38×2×π×24

l=3×2π×3

l=18π cm

Therefore

Length of arc CD =18π cm

Thus, option B is correct.