f ind the area
DESCRIPTION
F ind the Area. EOCT Review. Question of the Day. Unit 3B. Circle Segments and Volume. If two chords are congruent, then their corresponding arcs are congruent. Solve for x. 8x – 7. 3x + 3. 8x – 7 = 3x + 3. x = 2. Example. Find WX. Example. Find. 130º. - PowerPoint PPT PresentationTRANSCRIPT
Find the Area
A lw
12
A bh
. 271 2A ft . 226 95A mi
EOCT Review
Question of the Day
Unit 3B
Circle Segments and Volume
If two chords are congruent, then their corresponding arcs are congruent.
8x – 7 3x + 3
8x – 7 = 3x + 3
Solve for x.
x = 2
Find WX.4 2 3y y
4 3y
7y11WX cm
Example
Find mAB
130º
Example
If two chords are congruent, then they are equidistant from the center.
In K, K is the midpoint of RE. If TY = -3x + 56 and US = 4x, find the length of TY.
Y
T
S
K
x = 8
U
R
E
3 56 4x x 56 7x
TY = 32
If a diameter is perpendicular to a chord, then it also bisects the chord.
This results in congruent arcs too.
Sometimes, this creates a right triangle & you’ll use Pythagorean Theorem.
IN Q, KL LZ. If CK = 2x + 3 and CZ = 4x, find x.
K
Q
C
L
Z
x = 1.52 3 4x x
In P, if PM AT, PT = 10, and PM = 8, find AT.
T
AM
P
MT = 6AT = 12
22 28 10MT
Example
CE =30
2 2 220 25x 15x
Example
LN = 962 2 214 50x
48x
Practice
• Workbook Page 211 and 212
Segment Lengths
in Circles
part
part
partpart
part part = part part Go down the chord and multiply
9
2
6
x
x = 3
Solve for x.
9 2 6x 18 6x
Find the length of DB.
8
12
2x
3xx = 4
A
B
C
D
12 8 3 2x x 296 6x
216 x
DB = 20
Find the length of AC and DB.
x = 8
x
5
x – 4
10
A
B
C
D 5 10 4x x 5 10 40x x
5 40x
AC = 13
DB = 14
Round to 3 decimal places
Practice WS
Beware: HW ahead