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Math Question

7.1.2 Exam: Semester 1 Exam Solomon needs to justify the formula for the arc length of a sector. Which expression best completes this argument? - The circumference of a circle is given by the formula \( c=\pi d \), where \( d \) is the diameter. - Because the diameter is twice the radius, \( 0=2 \pi r \). - If equally sized central angles, each with a measure of \( n^{\circ} \), are drawn, the number of sectors that are formed will be equal to \( \frac{360^{\circ}}{n^{\circ}} \). - The arc length of each sector is the circumference divided by the number of sectors, or \( 2 \pi r-\frac{360}{m} \). - Therefore, the arc length of a sector of a circle with a central angle of \( n^{\circ} \) is given by \( \underset{\text {, or } \frac{\pi m}{180} \text {. }} \) A. \( 2 \pi r \cdot \frac{n}{360} \) B. \( 2 \pi r \cdot \frac{n}{180} \) C. \( 2 \pi r \frac{n}{90} \) D. \( 2 \pi r \cdot \frac{n}{270} \) LPREVIOUS

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