Arc Addition Postulate
(WRITE OUT THE THEOREM/POSTULATE)
The measure of an arc formed by two adjacent arcs is the sum of the measure of the two arcs.
100
A _______ is a line in the same plane as the circle that intersects it at exactly one point.
(FILL IN THE BLANK)
Tangent
100
AB and CD are both tangent to circle F. AB=5x-28 and CD=3x. Find the measurement of CD.
CD=42
100
A plane is 35,000 feet above sea level. What is the distance from the horizon to the plane. Round to the nearest mile.
(HINT: Earth's radius is 4,000 miles and there are 5,280 feet in a mile.)
230 miles
100
If a line is perpendicular to a radius of the circle at a point on the circle, then the line is _______ to the circle.
tangent
200
Chord-Chord Product Theorem
(WRITE OUT THE THEOREM/POSTULATE)
If 2 chords intersect in the interior of the circle, then the product of the lengths of the segments are equal.
200
What is the name of the line that intersects a circle at two points?
Secant
200
Find the area of the sector if the radius is 6mm and the degree is 120. Round to the nearest hundredth.
37.70 sq. mm.
200
A circular garden with a 10 foot diameter is watered by a sprinkler located at the center. What is the area in square feet that is watered if the sprinkler rotates at an angle of 60 degrees?
13 sq. ft.
200
In a circle, the perpendicular bisector of a chord is a ______ or ________.
radius and diameter
300
Write the equation of a circle.
(x-h)^2 + (y-k)^2 = r^2
300
An angle whose vertex is on a circle and whose sides contain chords on the circle is called?
An inscribed angle.
300
If the measurement of an inscribed angle is 35 degrees, what if the measurement of the intercepted arc?
70 degrees
300
A slice of pizza is cut from a whole pizza with a diameter of 20 inches. What is the area of the slice of pizza to the nearest inch if the slice is a fourth of the pizza?
78 sq. in.
300
If a quadrilateral is inscribed in a circle, then its opposite angles are _________.
supplementary
400
Secant-Secant Product Theorem
(WRITE OUT THE THEOREM/POSTULATE)
If 2 secants intersect outside of the circle, then the product of the lengths of one secant segment and its external segment equals the length of the other secant segment and its external segment.
400
True or False?
A sector is a region bounded by 2 chords and their intercepted arc?
False, A sector is a region bounded by 2 radii not 2 chords.
400
Find DE and AC. Secants labeled AC and CE, B and D are where the secants meet the circle, respectively. AB=6, BC=4, CD=5, DE=x.
AC=10 and DE=3
400
In a circle there are two chords labeled AB and CD, with intersection E. If the product of AE and EB is 16, what is CE if DE is 2?
8
400
If inscribed angles subtend or intercept the same arc, then the angles are _______.
congruent
500
Secant-Tangent Product Theorem
If a secant and a tangent intersect outside of the circle, then the product of the lengths of the secant segment and its external segment equals the length of the tangent segment squared.
500
True or False?
For every tangent, there is only one point of tangency.
True.
500
Write the equation of the circle. Circle G with center (9,-2) and radius 4.
(x-9)^2 + (y+2)^2 = 16
500
The county is building a new park equidistant to the three towns Westminster, Fountain Valley, and Garden Grove. If the coordinates are W(2,5), F(3,-2), and G(-5,-2), what are the coordinates of where the park should be built?
(-1,1)
500
An inscribed angle subtends a(n) ________ if and only if the angle is a right angle.