QQuestionMathematics
QuestionMathematics
The formula for finding the length of an arc on a circle is L= 2πr(x/ 360)where r is the radius of the circle and x is the measure of the central angle of the arc.
Solve for r.
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Answer
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Step 1: Begin by isolating the term with the variable r on one side of the equation.
L = 2\pi r \cdot \frac{x}{360} \Rightarrow \frac{L}{2\pi \cdot \frac{x}{360}} = r
To do this, divide both sides of the equation by 2π(x/ 360).
Step 2: Simplify the right-hand side of the equation by multiplying the fractions.
\frac{L}{2\pi} \cdot \frac{360}{x} = r
Final Answer
r = \frac{L}{2\pi} \cdot \frac{360}{x}
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