A C E B D Name two radii in Circle E. Unit 4: Prerequisite Terms
A C E B D ECandED Unit 4: Prerequisite Terms
A C E B D Name all chords in Circle E. Unit 4: Prerequisite Terms
A C E B D AD, CD, AB Unit 4: Prerequisite Terms
A C E B D Name a diameter in Circle E. Unit 4: Prerequisite Terms
A C E B D CD Unit 4: Prerequisite Terms
C A B F E D G H Name the term that describes the segment or point: AG Unit 4: Prerequisite Terms
Chord Unit 4: Prerequisite Terms
C A B F E D G H Name the term that describes the segment or point: EB Unit 4: Prerequisite Terms
Radius Unit 4: Prerequisite Terms
C A B F E D G H Name the term that describes the segment or point: DB Unit 4: Prerequisite Terms
Diameter Or Chord Unit 4: Prerequisite Terms
C A B F E D G H Name the term that describes the segment or point: FH Unit 4: Prerequisite Terms
Chord Unit 4: Prerequisite Terms
C A B F E D G H Name the term that describes the segment or point: ED Unit 4: Prerequisite Terms
Radius Unit 4: Prerequisite Terms
C A B F E D G H Name the term that describes the segment or point: E Unit 4: Prerequisite Terms
Center Unit 4: Prerequisite Terms
P O R T Point R is the point of. Unit 4, 24.1
Tangency Unit 4, 24.1
A line is tangent to a circle if it intersects the circle at exactly point. Unit 4, 24.1
One Unit 4, 24.1
Fill in the blank to describe the relationship between a tangent line to a circle and the radius of the circle drawn to the point of tangency. The tangent line and the radius are. Unit 4, 24.1
Fill in the blank to describe the relationship between a tangent line to a circle and the radius of the circle drawn to the point of tangency. The tangent line and the radius are PERPENDICULAR. Unit 4, 24.1
SA is a radius of circle S, AWis tangent to circle S at point A, AW = 32, and SW = 40. What is the length of SA? Unit 4, 24.1
SA is a radius of circle S, AWis tangent to circle S at point A, AW = 32, and SW = 40. What is the length of SA? x 2 + 32 2 = 40 2 x 2 + 1024 = 1600 x 2 = 576 x = 24 W 32 40 A x S Unit 4, 24.1
Circle O with tangents HB and HD is shown. BO = 12, and EH = 8. What is the length of one of the tangent segments, to the nearest tenth? Unit 4, 24.1
Circle O with tangents HB and HD is shown. BO = 12, and EH = 8. What is the length of one of the tangent segments, to the nearest tenth? x 2 + 12 2 = 20 2 x 2 + 144 = 400 x 2 = 256 x = 16 12 x 20 Unit 4, 24.1
B 12 13 A 56 C x In C, find x if AB is tangent. Unit 4, 24.1 extra practice
B 12 13 A 56 x C 5 2 12 2 x 2 25 144 x 2 169 x 2 169 x 2 13 x Unit 4, 24.1 extra practice
S P Q 5 3 R RS is tangent to Q at point R. Find PR. Unit 4, 24.1 extra practice
P Q 5 S 3 R 3 2 x 9 x 2 2 5 25 2 x 2 16 x 2 16 x 4 Radius is 4. Therefore, PR= 8. Unit 4, 24.1 extra practice
B C T 12 U V A What is TV? Unit 4, 24.2
B T C 12 U 12 V This side is also 12. Add them together to get TV A 12+12= 24 If a diameter is perpendicular to a chord, then it bisects the chord. Unit 4, 24.2
A circle has a radius of 29 centimeters. The midpoint of a chord of the circle is 20 centimeters from the center. How long is the chord? Unit 4, 24.2
A circle has a radius of 29 centimeters. The midpoint of a chord of the circle is 20 centimeters from the center. How long is the chord? x 2 + 20 2 = 29 2 x 2 + 400 = 841 x 2 = 441 x = 21 Chord = 21 + 21 = 42 cm 21 21x 20 29 Unit 4, 24.2
Find the length of a chord that is 10 cm from the center of a circle whose radius is 26cm. Unit 4, 24.2
Find the length of a chord that is 10 cm from the center of a circle whose radius is 26cm. x 2 + 10 2 = 26 2 x 2 + 100 = 676 x 2 = 576 x = 24 Chord = 24 + 24 = 48 cm 24 24x 10 26 Unit 4, 24.2
Find the length of a chord if it is 5 feet from the center of the circle, and the radius is 13 feet. Unit 4, 24.2
Find the length of a chord if it is 5 feet from the center of the circle, and the radius is 13 feet. 13 ft 5 ft x ft 12 ft represents HALF of the chord. 12 ft x 2 = 24ft. The answer is 24 ft. Unit 4, 24.2
3 x 10 5 Set up an equation to find x. Unit 4, 24.2
3 x 10 5 10x 15 part part = part part Unit 4, 24.2
9 x 8 12 Set up an equation to find x. Unit 4, 24.2
9 x 8 12 8x 9 12 part part = part part Unit 4, 24.2
The intersecting chords RJ and AL have the segment lengths shown. What is the length of LA? Unit 4, 24.2
The intersecting chords RJ and AL have the segment lengths shown. What is the length of LA? 4 x 6 = 2 x + 1 4x 24 = 2x + 2 2x 24 = 2 2x = 26 x = 13 Unit 4, 24.2
Chords RS and PQ intersect at point T. What is the value of x? Unit 4, 24.2
Chords RS and PQ intersect at point T. What is the value of x? x x + 2 = x 4 x + 12 x 2 + 2x = x 2 4x + 12x 48 x 2 + 2x = x 2 + 8x 48 2x = 8x 48 6x = 48 x = 8 Unit 4, 24.2
The radius of the Circle C is 9 inches, FD = 3in, and GH JK. What is the length of CL? Unit 4, 24.2
The radius of the Circle C is 9 inches, FD = 3in, and GH JK. What is the length of CL? Since GH JK, then FD = PL and CL = CD. 9 3 6 CL = 9 3 = 6 6 9 3 Unit 4, 24.2
B 2x + 6 A C 20 and AB AC are both tangent to the circle. Find the value of x. Unit 4, 24.3
B 2x + 6 A C 20 2x 6 20 2x 14 x 7 Unit 4, 24.3
In this figure, ED= 50 feet, PD = 88 feet, and OD = 84 feet. Which is the length of PO? Unit 4, 24.3
In this figure, ED= 50 feet, PD = 88 feet, and OD = 84 feet. Which is the length of PO? PO = 72 88 50 50 84 88 50 = 38 84 50 = 34 38 34 38 + 34 = 72 Unit 4, 24.3
K 3 T L.A W 6 M 10 R TW, TR, and RW are all tangent to A. Find the perimeter of TWR Unit 4, 24.3
K 3 T 3 L If two segments from the same exterior point are tangent to a circle then they are congruent. W 6.A 10 6 M 10 R Add up all segments that make up the triangle. 6 + 6 + 3 + 3 + 10 + 10 = 38 is the perimeter. Unit 4, 24.3