1. This document contains math problems and solutions related to circles. It includes definitions of circle terminology like radius, diameter, circumference, chord, and definitions of formulas to calculate circumference based on diameter or radius. 2. Sample problems calculate circumference given diameter or radius values. One problem has students make a circle graph of a person's weekly budget breakdown. 3. The last problem has students make a circle graph of visits to different Kentucky national recreation areas based on visitation numbers.

1. 9.6 circles April 03, 2012
Solve.
Be 10 x
O
ll
w
bj
100 360
=
ec
e: o
t
rk
iv
Ci
rc 0.8 x
le
s 5.3 360
=
HW pg. 489 #3­16, 20 1

2. 9.6 circles April 03, 2012
Page 482 # 1­ 32 all
8. ED
10. CB or 4mm
12. ΔEDF
14. <A ≅ <C ≅ <M ≅ < K
<E ≅ <D ≅ <I ≅ <J
<B ≅ <H ≅ <L ≅ < F
16. 10 in
18. DF ≅ SF, EF ≅ TF, <DFE ≅ <SFT, ΔDFE ≅ ΔSFT by SAS
20. <A ≅ <X, <B ≅ <Y, <C ≅ <Z
22. 15 cm
24. <YZB ≅ <XZB, BZ ≅ BZ, <YBZ ≅ <XBZ, ΔYBZ ≅ ΔXBZ by ASA
26. AC ≅ CA, AB ≅ CD, BC ≅ DA, ΔABC ≅ ΔCDA by SSS
28. Incorrect; <R does not correspond with <U
30. Correct; these are corresponding sides
32. Correct; these are corresponding angles.
HW pg. 489 #3­16, 20 2

3. 9.6 circles April 03, 2012
Circle
di
Radius
ius
am
rad
et
re
center
Circumference
cho
rd
Diameter
Chord
HW pg. 489 #3­16, 20 3

4. 9.6 circles April 03, 2012
Circumference: C = πd or 2πr
Find the circumference.
C = π6
= 18.84 ft 6 ft
HW pg. 489 #3­16, 20 4

5. 9.6 circles April 03, 2012
Find the circumference of each circle.
diameter = 200 mi radius = 30 mm
C = π200 = 628 mi C = 2π30 = 188.4 mm
HW pg. 489 #3­16, 20 5

6. 9.6 circles April 03, 2012
Make a circle graph for Juan's weekly budget.
Recreation (r) 20%
Lunch (l) 25%
Clothes (c) 15%
Savings (s) 40%
25%
20%
15%
40%
HW pg. 489 #3­16, 20 6

7. 9.6 circles April 03, 2012
Make a circle graph for the data below.
Visits to Kentucky's National
Recreation Areas
Site Visits(millions)
Lincoln's Birthplace 0.3
Big South Fork 0.4
Cumberland Gap 1.3
mammoth Caves 1.8
HW pg. 489 #3­16, 20 7

8. 9.6 circles April 03, 2012
9.6 HW pg. 489 # 3‐16, 20
HW pg. 489 #3­16, 20 8