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

Question

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

Accepted Answer

The correct answer is . The circumference, C , of a circle is , where r is the length of the radius of the circle. For the given circle with a radius of 1, the circumference is , or . To find what fraction of the circumference the length of arc is, divide the length of the arc by the circumference, which gives . This division can be represented by . Note that 1/6, .1666, .1667, 0.166, and 0.167 are examples of ways to enter a correct answer.

Question points