A bicycle wheel has a radius of 14 inches. Through what arc length does a point on the wheel travel when the wheel rotates 135°?

\frac{21\pi}{2} inches Arc length = \\frac{135}{360} \\cdot 2\\pi(14) = \\frac{3}{8} \\cdot 28\\pi = \\frac{84\\pi}{8} = \\frac{21\\pi}{2} inches.

Circles

SAT Math· difficulty 4/5

135°

Explanation

= \\frac{135}{360} \\cdot 2\\pi(14) = \\frac{3}{8} \\cdot 28\\pi = \\frac{84\\pi}{8} = \\frac{21\\pi}{2}

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