Points A and B lie on a circle with radius 1, and arc ⌢AB has a length of π/3. What fraction of the circumference of the circle
is the length of arc ⌢AB?
2 answers:
Answer:
⅙
Explanation:
Arc as a fraction of the circumference is equal the the central angle as a fraction of total angle in a circle (i.e 2π)
π/3/2π
1/6
Answer:
1/6
Explanation:
The circumference of a circle is denoted by: C = 2πr, where r is the radius. Here, we see that the radius is 1, so plug this in:
C = 2πr
C = 2π * 1 = 2π
We see that arc AB has length π/3, so to find the fraction of the circumference this is, divide π/3 by 2π:
(π/3) ÷ 2π = (π/3) * (1/2π) = 1/6
Thus, the answer is 1/6.
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