circle unit formulas and definitions: Flashcards
What is the formula for circumference?
2 x pi x radius or d x pi
What is the formula for the arc length?
measure of the arc/360 times the circumference
What is the formula for the area of a circle?
pi x radius squared
What is the formula for the area of a triangle?
b times h/2
What is the formula for the area of
a polygon?
Apothen x perimeter/2
How do you find the area of a segment?
Area sector - area triangle
How do you find the area of a shaded region?
Area of the circle - area segment
What is the annulus?
The region between two concentric circles
What are concentric circles?
Coplanar circles that have the same center
What are coplanar circles?
Circles in the same plane
What is a central angle?
An angle whose vertex lies on the center of the circle
THEOREM: The measure of an angle formed by two lines that intersect outside a circle is half the difference of the measures of the intercepted arcs. What is the formula?
Big arc - smaller arc/2
THEOREM: The measure of an angle formed by two lines that intersect inside a circle is half the sum of the measures of the intercepted arcs. What is the formula?
Arc 1 + arc 2/2
What is the equation formula for a circle?
( x - h )^2 + ( y - k )^2 = r^2