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