a. Find the length of a 20degrees° arc of a circle whose radius is 7 cm.
b. Explain why the arc length in part (a) is longer or shorter in centimeters if the radius had been 12 cm.
c. Find the arc length when the radius is increased to 12 cm.
We know that
a) In this case, r = 7 cm and
Therefore,
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b) Since arc length is directly proportional to the radius of the cicle, therefore, arc length is longer if the radius had been 12 cm
c) In this case, r = 12 cm and
Therefore,
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