Question

Points A and B lie on a circle with radius 1, and arc AB ⌢ has a length of 7D%7B3%7D" id="TexFormula1" title="\frac{\pi }{3}" alt="\frac{\pi }{3}" align="absmiddle" class="latex-formula">. What fraction of the circumference of the circle is the length of arc AB ⌢?

Answer 1

Answer:

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 $\frac{\pi }{3}$÷$2\pi$.

This division can be represented by $\frac{\pi }{3}$×$\frac{1}{2}$$\pi =\frac{1}{6}$

can also be rewritten as 0.166 or 0.167.

Answer 2

Answer:

Solution given:

arc AB :angle=$\frac{\pi }{3}$=60

radius[r]=1

Now

we have

Circumference the circle is the length of arc AB ⌢:$\frac{arc AB }{360}2\pi*r$

:

$\frac{180}{3} \div 360 \times 2\pi \: \times 1$

=⅓π or 1.047units

Note:

For angle π=180

For length π=$\frac{22 }{7}$.