CIRCUMFEREN CE ARC LENGTH OF CIRCLES Circumference The

CIRCUMFEREN CE & ARC LENGTH OF CIRCLES

Circumference The distance around a circle

What is pi? Archimedes method: archimedes method for finding pi

Circumference or

2 Types of Answers Rounded • Type the Pi button on your calculator • Toggle your answer • Do NOT write Pi in your Exact • Pi will be in your answer • or Leave in terms of pi

1. r = 14 feet 2. d = 12 miles

Ex 3 and 4: Find the circumference. Round to the nearest tenths.

Find the Circumference A circular flower garden has a diameter of 6 feet. Find the circumference of the garden to the nearest hundredths. C = 18. 85 ft

Arc Length The distance along the curved line making the arc (NOT the degree amount)

Arc Length Proportional This is how you will see it on the Formumla Sheet

Ex 6. Find the Arc Length Round to the nearest hundredth 8 m 70

Ex 7. Find the Arc Length Round to the nearest hundredth 12 in 110

Ex 8. Find the exact Arc Length. Leave in terms of pi.

Ex 9. What happens to the arc length if the radius is doubled? Find the arc lengths. (leave in terms of pi. ) 12 24 If the radius is doubled, the arc length is____. What is the scale factor (or constant of proportionality? ____

Ex 9. What happens to the arc length if the radius is doubled? Find the arc lengths. (leave in terms of pi. ) 12 24 If the radius is doubled, the arc length is doubled. What is the scale factor (or constant of proportionality? k=2

What is the length of: (a) the outside of the track? (b) the inside of the track?