Points A and B lie on a circle with radius 1, and arc AB ⌢ has a length of . What fraction of the circumference of the circle is the length of arc AB ⌢?

0.167

EXPLANATION:

To figure out the answer to this question, you'll first need to know the formula for finding the circumference of a circle.

The circumference, C, of a circle is C=2πr, where r is the radius of the circle. For the given circle with a radius of 1, the circumference is C=2(π)(1), or C=2π.

To find what fraction of the circumference the length of AB⌢ is, divide the length of the arc by the circumference, which gives ÷.

This division can be represented by ×

can also be rewritten as 0.166 or 0.167.

Solution given:

arc AB :angle==60

radius[r]=1

Now

we have

Circumference the circle is the length of arc AB ⌢:

:

=⅓π or 1.047units

Note:

For angle π=180

For length π=.

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