Question Bank / Math / Circles
Circles SAT question
Math · Geometry and Trigonometry · Hard · Answer it here, explanation included.
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 ?
Enter a number or fraction (like 3/17 or 0.176). Press Enter to check.
ExplanationShow
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.
Drill this skill on Aceit
Adaptive practice, a daily plan, and score tracking take a free account so we can save your work.
More Circles questions
- The circle above has center O, the length of arc is , and . What is the length of arc ?
- The graph of x 2 + x + y 2 + y = 199 2 in the xy-plane is a circle. What is the length of the circle's radius?
- The equation above defines a circle in the xy-plane. What are the coordinates of the center of the circle?
- Point O is the center of the circle above, and the measure of is . If the length of is 18, what is the length of arc ?
- A circle in the xy-plane has a diameter with endpoints 2,4 and 2,14. An equation of this circle is x - 2 2 + y - 9 2 = r 2 , where r
- Circle A in the xy-plane has the equation x + 5 2 + y - 5 2 = 4 . Circle B has the same center as circle A. The radius of circle B is two t