Circumference, Arc Length, Area, and Area of Sectors

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Presentation transcript:

Circumference, Arc Length, Area, and Area of Sectors

The distance around a circle Circumference The distance around a circle

Circumference or Twinkle, Twinkle Little Star Circumference Equals 2 pi r or

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

Find the EXACT circumference. r = 14 feet d = 15 miles

Ex 3 and 4: Find the circumference. Round to the nearest tenths. 33 yd 14.3 mm

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

Arc Length

Ex 5. Find the Arc Length Round to the nearest hundredths 8m  70

Ex 6. Find the exact Arc Length. 

Ex 7. What happens to the arc length if the radius were to be doubled Ex 7. What happens to the arc length if the radius were to be doubled? Halved? 

Ex 8. Find the perimeter of the region.

Ex 9. How far does the skater go from the top of one ramp to the top of the other?

The amount of space occupied. Area of Circles The amount of space occupied. r A = pr2 

Find the EXACT area. 9. r = 29 feet 10. d = 44 miles

11 and 12 Find the area. Round to the nearest tenths. 53 cm 7.6 yd

Area of a Sector the region bounded by two radii of the circle and their intercepted arc.

Area of a Sector

Find the area of the sector to the nearest hundredths. Example 13 Find the area of the sector to the nearest hundredths. R 6 cm 60 Q A  18.85 cm2

Find the exact area of the sector. Example 14 Find the exact area of the sector. 6 cm 120 7 cm Q R

(Area of sector) – (Area of triangle) Example 15 Area of minor segment = (Area of sector) – (Area of triangle) R Q 12 yd