Perimeter and Circumference Perimeter and Circumference ALWAYS draw a picture and write the formula!

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Presentation transcript:

Perimeter and Circumference Perimeter and Circumference ALWAYS draw a picture and write the formula!

Perimeter and Circumference Perimeter and Circumference Circumference is the word used to describe the distance around the outside of a circle.

Perimeter and Circumference Perimeter and Circumference radiusdiameter

Perimeter and Circumference Perimeter and Circumference Use when you know the radius. Use when you know the diameter.

Perimeter and Circumference Perimeter and Circumference Example 2: Find the circumference of each circle. 7 ft5 in

Perimeter and Circumference Perimeter and Circumference Perimeter is the word used to describe the distance around the outside of a figure. To find the perimeter, add together the lengths of all of the sides of the figure. P= 2l +2w

Perimeter and Circumference Perimeter and Circumference P = add the sides

Perimeter and Circumference Perimeter and Circumference Example 1: Find the perimeter of each quadrilateral. 5 inches 12 cm 5 cm

Perimeter and Circumference Perimeter and Circumference In each problem situation, identify whether you would use perimeter or circumference. Fencing a yard________________________ Putting ribbon around a round pillow_______________ Finding how far a tire travels in one rotation______________ Framing a picture__________________ perimeter circumference

Perimeter and Circumference Perimeter and Circumference Ed and Carol are jogging around a circular track in the park. The diameter of the track is 2 miles. Find to the nearest mile, the number of miles they jogged if they made two complete trips around the track. Example 3:

Perimeter and Circumference Perimeter and Circumference The pied piper and his friends are walking around a track that is shaped like a regular pentagon. Each side measures 85 feet. If they make 3 complete trips around the track, how far will they have walked? PRACTICE #1:

Perimeter and Circumference Perimeter and Circumference The radius of this circular placemat is 7 inches. Find the circumference to the nearest tenth of an inch. PRACTICE #2:

If the perimeter of a square is 48 inches, what is the length of each side? Perimeter and Circumference Perimeter and Circumference

If the perimeter of an equilateral triangle is 45 feet, what is the length of each side? Perimeter and Circumference Perimeter and Circumference

Name Math--period Mrs. Lamb January 28, 2011 Perimeter and Circumference Write your formula Draw a picture Circle your answer

Perimeter and Circumference Homework If a circle has a radius of 9 inches, what is its circumference rounded to the nearest inch? A18 inC113 in B57 inD254 in

Perimeter and Circumference Homework If a rectangle is 21 inches long and 16 inches wide, what is its perimeter? A37 inC74 in B64 inD84 in

Perimeter and Circumference Homework If a square has a side length of 17.5 inches, what is its perimeter rounded to the nearest inch? A35 inC69 in B52 inD70 in

Perimeter and Circumference Homework If a circle has a radius of 2.7 meters, what is its circumference rounded to the nearest meter? A5 mC17 m B9 mD23 m

Perimeter and Circumference Homework If a square has a side length of 91.5 centimeters, what is its perimeter rounded to the nearest centimeter? A366 cmC274 cm B275 cmD183 cm

Perimeter and Circumference Homework If a rectangle has a width of 9 centimeters and a length of 23 centimeters, what is its perimeter? A36 cmC92 cm B64 cmD207 cm

Finding Perimeter and Circumference Finding Perimeter and Circumference With your group, go through all 12 problems and draw the picture and write the formula. If there is not a perimeter formula for the shape in the problem, write P= add the sides

The world’s largest Ferris wheel is the Cosmoclock 21 in Yokohama, Japan. The wheel has a radius of 164 ft. How far would you travel in one turn of this wheel? Finding Perimeter and Circumference Finding Perimeter and Circumference 164 ft

Finding Perimeter and Circumference Finding Perimeter and Circumference The minute hand of a clock is 7 in. long. How far does the point of the hand travel in 60 minutes? 7 in

Find the perimeter of a square with sides of 18.3 meters. Finding Perimeter and Circumference Finding Perimeter and Circumference 18.3 m P = add the sides

Finding Perimeter and Circumference Finding Perimeter and Circumference The perimeter of a “STOP” sign is 100 inches. What is the length of each side?

Finding Perimeter and Circumference Finding Perimeter and Circumference Mia enjoys in-line skating. The diameter of the wheels on her skates is 65mm. How far do her skates travel with each turn of the wheels? 65 mm

Finding Perimeter and Circumference Finding Perimeter and Circumference The distance from the center of an archery target to the outside edge of the target is 24 in. What is the circumference of the target? 24 in

Finding Perimeter and Circumference Finding Perimeter and Circumference Find the perimeter of a regular hexagon with sides of 0.75 meters 0.75 m P = add the sides

Finding Perimeter and Circumference Finding Perimeter and Circumference Farmer Fred’s field is a rectangle 32 yards wide. The length of the field is twice the width. How much fencing does he need to go around it? 32 64

Finding Perimeter and Circumference Finding Perimeter and Circumference The frame around a square poster is 96 in long. How long is each side of the poster?

Finding Perimeter and Circumference Finding Perimeter and Circumference Find the perimeter of an equilateral triangle with sides of 10.8 cm 10.8 cm P = add the sides

Finding Perimeter and Circumference Finding Perimeter and Circumference A canoe race is held using three buoys to make a triangular course. The first leg is 80 yards long. The second leg is half as long as the first leg. The third leg is 10 yards less than the first leg. How long is the race? P = add the sides

Finding Perimeter and Circumference Finding Perimeter and Circumference The diameter of this circle is___________. The circumference of this circle is____________ 4.5 cm

Bonus Perimeter and Circumference Perimeter and Circumference Rex has a square sheet of plywood that measures 36 inches on each side. What is the radius of the largest circular disk that he can cut from this sheet?

Homework Perimeter and Circumference Perimeter and Circumference

Perimeter and Circumference Homework Melanie wants to sew fringe around a rectangular collar. The collar measures 12 inches by 16 inches. How much fringe does she need? A28 inC108 in B56 inD192 in

Perimeter and Circumference Homework Kathleen is making a pie. She plans to use frosting to decorate the outside edge of the pie. The radius of the pie is 5.5 inches. How much frosting, rounded to the nearest inch, will Kathleen need? A10 inC27 in B16 inD35 in

Perimeter and Circumference Homework Lea is making a square shawl for her daughter. She wants to put ribbon trim on the outside edge of the shawl. Each side of the shawl is 0.95 meters long. How much ribbon (rounded to the nearest meter) does Lea need to buy? A4 mC2 m B3 mD1 m

Perimeter and Circumference Homework Jake is planning to fence his garden. His garden measures 10 feet long and 5 feet wide. What is the amount of area Jake wants to fence? A15 sq ftC30 sq ft B25 sq ftD50 sq ft

Perimeter and Circumference Homework Cary wants to make rectangular bedspreads for her boy’s room. She plans to bind the edges of the spreads with seam binding. Each spread is 5.1 feet by 7.8 feet. How much seam binding, rounded to the nearest foot, does Cary need for one bedspread? A40 ftC26 ft B39 ftD13 ft

AREA Area (triangle)

AREA Area (rectangle) Area (rectangle) = (length)(width)

AREA Area (square)

AREA Area (parallelogram)

AREA Area (trapezoid)

AREA Area (circle)