Wednesday, January 2, 2013

How do I find the measure of the middle arc in a square?

Q. I know that the picture is not a perfect square so I just put a 7 on the sides to show you that they are the same. How do I find the measure of the arc from point A to point B?
(take the space off in between (filer. jpg)(shack. us)
img59.imageshack. us/img59/411/filer. jpg

A. add, then subtract difference

How do i figure out the measure of a minor arc?
Q. Kathy and Tami are at point A on a circular track that has a radius of 150 feet. They run counterclockwise along the track from A to S, a distance of 247 feet. Find the measure of minor arc AS.

Which formula do i use?
the measure of minor arc AS has to be in degree.

A. Find the circumference, using the radius of 150.
Then subtract the measure of the major arc, which may or may not be the 247 feet. If it's over half of the circumference, it's the major arc. if it's less than half, its the minor arc. If 247 is the major arc, subtract it from the circumference to get the minor arc.

How do i solve for the arcs of a circle when i only have an angle formed by two tangents?
Q. I have a circle where angle d is formed by 2 tangents and is 110 degrees. It is asking me to find the measures of the arcs and i tried using x and 360-x but i keep ending up with 220=360. What am i doing wrong.

A. A line from the point of tangency to the center of the circle forms a 90° angle with the tangent line. When two tangents intersect a line from their vertex to the center of the circle bisects the vertex angle. So now you have two triangles with angles of 90°, 55°, and 35°(which is the central angle). So the arc included between the two points of tangency is 2(35°) = 70°




Powered by Yahoo! Answers

No comments:

Post a Comment