The circumference of a bicycle wheel is 308 cm , Find it's radius

Mathematics

ScanSolve AI Answer

Answer

49 cm\text{49 cm}

Step-by-step solution

3 steps
  1. Write down the formula for the circumference of a circle.

    The formula for the circumference CC of a circle with radius rr is:

    C=2πrC = 2\pi r
  2. Substitute the given circumference and the value of π\pi into the formula.

    Given C=308C = 308 cm. We will use π=227\pi = \frac{22}{7}.

    308=2×227×r308 = 2 \times \frac{22}{7} \times r
  3. Solve for the radius rr.

    308=447r308 = \frac{44}{7} r

    To isolate rr, multiply both sides by 744\frac{7}{44}:

    r=308×744r = 308 \times \frac{7}{44} r=308×744r = \frac{308 \times 7}{44} r=215644r = \frac{2156}{44} r=49r = 49

    The radius of the bicycle wheel is 49 cm.

    The radius of the bicycle wheel is 49 cm\text{49 cm}.

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