Question

A circle has a radius of 3. An arc in this circle has a central angle of 60°

Answer 1

`\pi`

Explanation:

0/360 = s/c

60/360 = s/6pi

1/6 = s/6pi

1/6 * 6pi = s

pi = s

Therefore Pi or
`\pi` is the answer

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Answer 2

pi or approximately 3.14

Explanation:

arc length = circumference * x/360 where x is the angle in degrees

Circumference = 2 * pi *r

arc length = 2*pi*r * x/360

We know r = 3 and x = 60

arc length = 2*pi*3 * 60/360

arc length = 6 pi *(1/6)

arc length = pi

Using 3.14 as an approximation for pi

arc length = 3.14