Circles
It is a set of points equidistant to its center
Circle
An angle whose vertex is on the circle and whose sides are the chords of the circle is called:
Inscribed angle
What formula is shown in this statement
Distance is equal to the square root of the quantity squared of x sub2 - x sub1 added to quantity squared of y sub2 - y sub 1.
Distance Formula
State the standard form of the equation of a circle
r^2=〖(x-h)〗^2+〖(y-k)〗^2
A segment whose endpoints are the center of the circle and a point on the circle.
radius
What theorem is shown in this equation
Angle = 1/2 (Intercepted Arc)
Sec - Tan Theorem 1
If P is the midpoint of A(x_1,y_1) and B(x_2,y_2 ), then the coordinates of P are
((x1+x2)/2,(y1+y2)/2)
Midpoint formula
State the general form of a circle
x^2+y^2+Dx+Ey+F=0
What is the total angle of a given circle?
360 degrees
What theorem is stated in this equation
Angle = 1/2 (Big arc - Small arc)
Sec - Tan Theorem 2
If P(3, 4) is the midpoint of A(-2, 10) and B(c, d), find the value of c and d.
d = -2
Give the center radius equation of the given
Center and Radius
Center is (5, 0)
Radius = Square root of 10
(x-5)^2 + y^2 = 10
More than 180 degrees
What theorem is stated in this equation
EA x EA = EC x ED
Tangent Secant Theorem
If P is the midpoint of A(-3,5) and B(1,9), find the coordinates of P.
x = -1
y = 7
What is the center and the radius of this equation
〖(x-2)〗^2+〖(y-1)〗^2=25
C(2, 1)
r = 5
What is the area of a circle whose radius is 5cm.
Round your answer to the nearest whole number.
79m^2
If two secants (or chords) intersect in the interior of a circle, the measure of an angle formed is one-half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
Secant Secant Theorem
Given that the distance between A(0, 2) and B(4, x) is 5.
Find all possible value/s of x.
x = -1 or 5
What is the general form of the equation
〖(x-3)〗^2+〖(y-5)〗^2=16
x^2+y^2-6x-10y+18=0