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Solving Systems of Equations for Clock Face Radius Calculation

Calculate the radius of a circular clock face based on its circumference equation. By solving the system of equations, find the clock face's radius, which is 3.28 cm.

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Solving Systems of Equations for Clock Face Radius Calculation

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  1. Solving SystemsofEquations

  2. The circumference of a circular clock face is 13 centimeters more than three times the radius. Find the radius of the face. Find the radius of the face.

  3. DATA: The circumference of a circular clock face is 13 centimeters more than three times the radius. circumference: C 13 cm three more than radius: r Variables: r C= C= Values: + 3 2πr

  4. Find the radius of the face. C C 3 r + 13 cm = C C = 2 π r

  5. Find the radius of the face. 3 r + 13 cm = C C = 2 π r

  6. Find the radius of the face. 2π ­3 3 r 3.28 cm + 13 cm = ( 2π ­3 2 π r ) • ­ The radius of the clock is 3.28 cm.

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