circles
TRANSCRIPT
WHAT ARE CIRCLES?The collection of all the points in a plane
which are at a fixed distance from a fixed
point in a plane , is called a CIRCLE.
REMARKs-
1.The line segment joining the
center and any point on the circle
is also called a RADIUS of the
circle.
2.DIAMETER is the longest chord and all
diameters have the same length which is
equal to two times the radius.
5.The region between a chord and either of
its arcs is called a SEGMENT of circular region
or simply a segment of the circle.
CIRCLES-Another prevalent kind of simple closed
curve is a circle. Circles are geometric figures whose points all lie the same distance from a given point, the circle's center. They are not polygons, because they are not made up of segments. Points that lie in the same line, like those in a segment, are never equidistant (an equal distance) from a single point.
FORMULA’S OF CIRCLES-1*Diameter = 2 x radius of circle
2*Area of Circle:area = PI r2
3* Circumference of Circle = PI x diameter = 2 PI x radius
where PI = PI = 3.141592...
4* Length of a Circular Arc: (with central angle theta).
if the angle theta is in degrees, then length = theta x (PI/180) x r
if the angle theta is in radians, then length = r x theta
FORMULA’S OF CIRCLES-5* Area of Circle Sector: (with central angle theta)
if the angle theta is in degrees, then area = (theta/360)x PI r2
if the angle theta is in radians, then area = ((theta/(2PI))x PI r2