Perimeter and Area. Perimeter and Area. Solutions. Curriculum Ready ACMMG: 196, 197, 216.

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1 Permeter nd Are Permeter nd Are Currculum Redy ACMMG: 96, 97, 6

2

3 Permeter nd Are Bscs Pge 4 questons. Fnd the permeter of these shpes to the nerest cm. (All unts n cm) 4 c Permeter cm Permeter cm Permeter cm d e 6. f 9 3 cm Permeter cm Permeter rr cm 39cm (nerest cm) Permeter 3 4cm. Look t ths trngle length cm Permeter cm 3 cm 04. cm Mthletcs 00% 3P Lernng J

4 Permeter nd Are Bscs Pge questons 3. Fnd the permeter of ths composte shpe (ll mesurements n m) m, m, 4 Permeter 46 ^ h+ ^h+ ^4h m 4. An thlete runs round the trck elow. Wht dstnce does he run fter 3 lps? 46 m 0 m 46m, Dstnce 3 Permeter 3^rr h 3 ^ h 3^ h 344 ^. h m. A composte shpe s mde up of qurter of crcle nd rght ngled trngle. Fnd the permeter. cm cm Hypotenuese cm Permeter ` rr 3 4 j ` j + ^. 34. h cm J Mthletcs 00% 3P Lernng

5 Permeter nd Are Knowng More Pge 9 questons. Identfy the followng shpes nd fnd the res of (ll mesurements n cm) 3 A B c AC 7 BD 9 D C 7 Are se heght Are ^product ofdgonlsh Are h^sumofprllel sdesh ^+ h 9cm cm cm. Use Pythgors to fnd the mssng length, nd then fnd the re (mesurements n cm) h h cm Are se heght cm Pge 0 questons h 3 - Are se heght h cm 0 cm Mthletcs 00% 3P Lernng J 3

6 Permeter nd Are Knowng More Pge 0 questons 3. Fnd the re of ech of these shpes f x 7 cm nd y 0 cm to the nerest cm. Crcle x Are rr r^7h 49r cm Kte x Are ^productofdgonlsh cm y Pge questons 4. A sports feld hs pnted "D" wth these mesurements: x 40 m x. 40 (x) x 0 m Are shded rr r 0 r r. 63. cm Arecrcle c Are unshded Arerectngle - Are shded r 00-00r. 77. cm 4 J Mthletcs 00% 3P Lernng

7 Permeter nd Are Knowng More Pge questons. A squre tle hs n re of 9 m. A tlecloth needs to e desgned n the shpe elow. 9 m Are 9 l l l l 9 3m The 4 3.m. 4 Are Aresqure + Arecrcle 9+ rr 9+ r. 9+.r 9+ 4.r. 3. m Mthletcs 00% 3P Lernng J

8 Permeter nd Are Knowng More Pge 3 questons 6. Mrss wnts to pnt ths hert on squre wll. 4 m m. m. 4-3m. c Are hert Are trngle+ Are crcle se heght + rr ^4h 3+ r 6 + r. 94. m d Are unpnted Aresqure -Are hert m 6 J Mthletcs 00% 3P Lernng

9 Permeter nd Are Usng Our Knowledge Pge questons. For ech of the four followng sectors 360 c 4c 4c c c 4c c d c 4 e 0c g - 34c 36c 0c 34c f 0c 3 h 36c 6. Fnd the rc length of these sectors to the nerest cm. c c 30c l r r 3c 6r 7 7 r 7 9 4r 9. cm l r r 0 30c 0r 3 36 r 3 9 6r 9. 3cm l r r 9-90c r 9 70c r 3 4 9r 3 7r. 4cm Mthletcs 00% 3P Lernng J 7

10 Permeter nd Are Usng Our Knowledge Pge 9 questons 3. Use the rc lengths to fnd the permeter of the ove sectors. Permeter Lengthrc + Rdus cm Permeter Lengthrc + Rdus cm c Permeter Lengthrc + Rdus cm 4. Fnd the re of these sectors to decml plce. c c 0c Are Arecrcle rr c r^h c r 7 33r 7.. cm Are Arecrcle rr 90c r^h 90c r 4 r cm Are Arecrcle rr c r^h 0c 44r r 60r.. cm J Mthletcs 00% 3P Lernng

11 Permeter nd Are Usng Our Knowledge Pge 0 questons. Use ths ellpse to nswer the followng questons: Are r r 0 0r 7.4cm. 7cm (nerest squrecm) c Permeter. r. r. r. r. r cm (nerest cm) Mthletcs 00% 3P Lernng J 9

12 Permeter nd Are Thnkng More Pge 3 questons. Fnd ll these nswers to the closest unt. 6 0c. Are of sector rr r 6 0c r 36 r. 7cm 70 0 Are of sector rr 70cm r^0h 70 00r r 7 36 r. 0c c 3c. Are sector rr rr 3c r r 3c r r 3 r 60 3r r. cm 0 J Mthletcs 00% 3P Lernng

13 Permeter nd Are Thnkng More Pge 3 questons. The permeter of n ellpse s gven y: P. r + P. r P. cr + + m P. 4r c P. + 4r P 4r.. P 4r P 4r P r + m P 4r r r. 90.4cm Mthletcs 00% 3P Lernng J

14 Permeter nd Are Thnkng More Pge 4 questons 3. A semcrcle s relly just sector wth 0c. 0c r r Are of sector rr ^ 0ch Are of sector rr rr rr rr 0c c J Mthletcs 00% 3P Lernng

15 Permeter nd Are Thnkng More Pge questons 4. A pzz s cut nto equl slces. 3 Slces re eten Are rr r^0h 00r 00r cm 3 Are 3 rr 3 r0 3 00r 300r. 7. cm Mthletcs 00% 3P Lernng J 3

16 Permeter nd Are Thnkng More Pge 6 questons. A new ellptcl engne s ttched to jet plne on trpezum connector Are strped Are trpezum + Areellpse - Areofthree sectors 0^ + 0h + r r^30h r- 40r r cm. 39. cm 4 J Mthletcs 00% 3P Lernng

17 Permeter nd Are Notes Mthletcs 00% 3P Lernng J

18 Permeter nd Are Notes 6 J Mthletcs 00% 3P Lernng

19

20 Permeter nd Are

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