In the diagram below, what is the approximate length of the minor arc ab? a. 7.9 cmb. 5.2 cmc. 3.1 cmd. 6.3 cm

D. 6.3 cm

Step-by-step explanation:

First we find the circumference of the circle.  The formula for circumference is

C = 2πr

Using 3.14 for π and our value for 5, we have

C = 2(3.14)(5) = 31.4 cm

Next we find the portion of the circle represented by this sector.  The angle is 72 out of 360 total degrees:

72/360 = 36/180 = 6/30 = 1/5

Multiply the circumference by this fraction:

1/5(31.4) = 6.28 ≈ 6.3 cm

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step-by-step explanation:

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