GT/Honors Geometry Name_______________________________

Chapter 10 Review – Area Date___________________Period________ For the following problems, find the area of the entire figure if nothing is shaded, or find the area of the

shaded region if there is one. All answers should be exact unless you are asked to round.

1. A=_____________ 2. A=___________ The area of a circle is 24π

cm2. Find the circumference of this circle.

3. A=________________ 4. A=______________ Equilateral Triangle

5. A=________________; p = ______________ Regular hexagon with semicircles attached

6. A=_________ ABCD is a rhombus with AC=18

7. A=__________ Find the area of a regular nonagon

with sides of length 12 cm. Round to the nearest

tenth.

8. A=__________

Regular Polygon, round to the nearest tenth.

9. A=____________ 10. Given: mABC=100˚, CB = 15; A=__________;

arc length = __________; probability of landing

in the shaded area (exact) = __________

A

C

B

15

10 45˚

8

9 17

14

4 3

8

A B

C D

E 41

24

12 11

11. A=_________ P = _______ probability of

landing in the shaded area (nearest hundredth) =

__________ __________

12. A=___________ ΔABC is equilateral.

BD=DC=10. mDCB = 30˚.

13. Find the area of an isosceles trapezoid that has

bases 8 cm. and 18 cm. and that has legs that are 13

cm. long.

14. Find the area of MNP if m = 14, p = 16, and

mMNP = 63. Round your answer to the

nearest tenth.

15. Find the area of the triangle bounded by

x = -2, y = 4 and y = 3x – 2.

16. Find the area of the quadrilateral ABCD with

coordinates A(-1,5), B(6,4), C(2,-2), D(-5,2).

17. AF=FG; FC=ED=FE=CD.

18. Joey has his dog on a leash tied to the corner of the garage. The garage is 20 feet by 30 feet. If

the leash is 24 feet long, how much area can the dog access?

Answers: (1) 275 2u ; (2) 4 6 cm ; (3) 26 110 u ; (4) 2144 3u ; (5) 2(96 3 24 )u ; (24 + 12 )u;

(6) 720 u2; (7) 890.2 cm2; (8) 110.1 u2 ; (9) 236 55u ; (10) 2125u

2 ;

25u

3; 5/18 (11) 2(6 9 3)u ;

(6 + 2 ) u; .03; (12) 2100 3u ; (13) 156 cm2; (14) 99.8 cm2 ; (15) 24 u2; (16) 41.5 u2;

(17) 2(351 28.125 )u , (63 + 7.5 ) u; (18) 2436 ft (Review quizzes)

60˚ 6

A

C

D

B

A B

C

D E

F

G

9

15

semicircle A=______________

P = _____________

A=__________

A=__________

20

30

24

GT/Honors GeometryChapter 10 Review - AreaFor the following problems. find the area of the entire figure if nothing is shaded,shaded r ion if there is one. Allanswers should be exact unless ou are asked to

3. A= fo 'f\\Q I). '- Equilateral Triangle

p= 3 ('21.\) ~ -,

A z- ~ (I 2) ( t; 'G;) ~\ 4f36:'A= ~() U~ ABCDis a rhombus with AC=18

. .

~ \::- ~O, 0.1.::- \~

7. A=~I(:ind the area of a regular nonagonwith sides of length 12 em. Roundto the near~tenth. I. z o Co

. -tax\ 20 -==: ~<0'-':a::.~"""""

. tA~~.p"

,~ -ltQ9 - "

------:,-

\"?

f-t::- ~ ( \ c>:g) ( t.~v\io)=- .gq 00 I g~

8.' A= \ \ 0 ~ \ \l"z'

Regular Polygon.round to the nearest tenth.(£:;i ~;::1"k p::. 40~. 5' '''''''''~'·~·b''::....'·4·

, A.VJ'V. 0-"' l-\. .

>', •. '~: '.' ", '.' Q:::. '~5b,8 ':,' -,.,":J.1o

j • L\ '

L~\ A~ ~~4~~~~~~fL' 0..._ \ '1i.> ~ \ I0 o I

9. A=\3b iSS"u"2- ~ f\i)2. + {."Z.:;- .) 4-"2-

, 39lo -r 'h "2- =- .57b

{Z~ \gO~i.~i\~ .::..6 is

~)<C!}(5

A=--i (141\\'),( 6(5)'

10. Given; mLABC=100°.CB= 15; A= /Pd.. 5 '1\ LlJ "2-

arc length = 8~ 1/ u. ; probab!li1y of landinginthe shaded area (exact): 5/\8

A ~i I()rJii &....as '1\ ') z:.' • 31blp\.

~... ~-H..,z, ~,,(~() '\1).AJVY\;:r-' ~ \g,A G::L,5"';r' .. ro:r5 -;:JS~ ~

c)'.;t5}'t - ~~50 ~O \ ~

13. Find the area of an isosceles trapezoid that hasbases 8 em. and 18 em. and that has legs that are 13

em. long~__ A=- -i (\"2.) ( i 6');J (\ "'13 \\2. 1'\\3 \\5Co e. vy\ 2-J/ S? 5' -

\'615. Find the area of the triangle bounded by

x = -2, y = 4 and y = 3x - 2.111--'I "T"T'1' '=f;--O-" IT! I , j I I j 1,1i tTt-n-t 'Ii:H-n---n-r-t"Tr',tTTTTTl , , '7~,+-,1 , I,J-L" ! 1 !mtml",, "'! ! rrrr: ! ! T:TTlTT "I ...I1!IIII!1i'IT-, I , 1\, i I I I r-rTl

-~ "3 !f,!,! r r i r :i I I 2 1 , : i ! I I ' IIt-l-l-r' I", '-t ,w, , , , 1, 1 I ,JII I II" ~i!""'.i ,9 ,$ ,7 ,6 ,5 -4 ,3 ' _ 11 2 ~ ~ 5 ~ J 6 9 x'! iT.1 I U f i! i i Iii I

~. ,! i i i ILLJI I i I Iii i i : ii : LLJI ! i i j i i i LIJJ[ II}it iiiii-LLLJII I ..J.,LL I 'il I I Ii! i , ! ,,-iT ':u::q:::tti:7-i. ii_I i i ! I I It::ttl "-! -! ~-L.:=t:-W-!-! ! ! ! ! ! ,

Ill_I L.LL! I . f 1 I i f I I ! I if;,l

14. Find the area of ilMNP if m = 14, P = 16, andmLMNP = 63°. Round your answer to thenearest tenth. ' ,e

N A z: ~ (\(0') (\L\)A--VYVlo3I~· ~

f{) . f ::t1~, ,11 2.13, ,";' q9o~16. Find the area of the quadrilateral ABCD with

coordinates A(-!,5), B(6,4), C(2,-2), D(-5,2).

lIiTT1:::U1-LU.9 tTTTTT I,Ll...!1 \_1 - '-\G ~~:rrli!1 i ) 'oi1...fTII ITiI1--' I I ! ! ! , ! '7 11I!TTT!1ir++ i-I i :TfT T1-:--i;TJ-t-H 0:;;:. \\t:1)~1'1 .~I I I : ":.,! : . ~ -; I. ~/ ! : 1 \,,',' ,'y,.~"I,"" I" f\ '1.11_ ' Vi +++2' fA ,i ~l ~Io f-\~:" :)-.1-+t+i .I N i 1 : i.l ' 'i '1'9'~'i'f'~.'~':::~~~1iS e9ix ~,,::..ij_ I\u-;..L~

I i oJ ! i I .~ I i -'. , -,

cH±1±H+f ::: LtJ:±±B =- i I ..:- 3 S V2-Iii i i ; i il 1-6 -i--W-fi' i j '-W-i f\ .·-t+t: : ! ; i :-7 -+ : : !-! -++1 . U \ 5 '2.,'! I ! ! ! iTn~f-j:..w-t±±::t:tl A= \ fI U r

IlL I i I i j j I I L....•I.-L..L..LL I I 1 1 r !N

P::.C\, ~ \5 -\- ~ +-~2>,0 :t;l ~S-1i-= 103+(,£'\\

'2.A= 35 \ -i- J,gt> IJ-51T lo-

p= ,=,3-1-'1,,51\ u

20

r": 24

18. Joey has his dog on a leash tied to the corner of the garage.the leash is 24 feet long, how much area can the dog access?

1- Q (~-:"';)'1)+ ~ ev( (~~)'-\ \

~(dL\)~''\\ + \4 (~):l.'i\

Lj 3~ 1\ + l.\-1\ ::: t-f 3~ 1\ ~+2, \ ---t 'i.:i'r:Answers: (1) 75J2u2; (2) 4.J67tcm; (3) 6-Jll0u2; (4) 144-J3u2;(5) (9~~,~247t)U2~;.L.L,~~.~, ju;

125 25'~' ~'1t(6) 720 u2;(7) 890.2 em2; (8) 110.1 u2

; (9) 36M u": (10) 27tU2; 37tU;5lt8'1tlJ (67t-9-J3)u2

;

(6 + 27t) u; ,03; (12) lOO-J3 uZ; (13) 156 emz; (14) 99.8 cmz ; (15) 24 u2

; (16) 41.5 uZ;

(17) (351+ 28.1251t)u2 ,(63 + 7.57t) u;(18) 436.1tft2 (Review quizzes)