Question

In the diagram below, what is the approximate length of the minor arc AB?

Answer 1

D. 31.4cm

Explanation:

Answer 2

D. 31.4cm

Explanation:

To know the measure of the arc AB, we must first know the measure of the perimeter (the circumference) of the circle:

`c=2\pi r`

where
`\pi` is a constant,
`\pi=3.1416`

and
`r` is the radius which is the line that goes from the center of the circle to a point on the circumference, in this case:

`r=30cm`

so the measurement of the circumference is:

`c=2(3.1416)(30cm)\\c=188.5cm`

Now, we don't want the measurement of the entire circumference, we only want 60 ° of the total 360 ° degrees of the circle. For this we must divide the measure that we find for the circumference by 360 and multiply the result by 60:

`AB=(188.5cm)/(360)(60)\\ \\AB=(0.5236cm)(60)\\AB=31.4cm`which is option D