Geo H 10.9 10.9 Arc Length Notes -...

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Example 1: Given the circumference of a circle is 18 , find the length of: a) 35° arc b) 120° arc Example 2: If the arc length of a circle with radius 10 is 5 , find the circumference and area of the circle and measure of the arc. Example 3 : Find the perimeter of the following figures - EXACT answers. a) b) c) d) 24 26 10.9 Arc Length Geo H 10.9 Notes Ar c Lengt h = 6 6 5 17 cm 15 cm 60° 20 cm

Transcript of Geo H 10.9 10.9 Arc Length Notes -...

Page 1: Geo H 10.9 10.9 Arc Length Notes - coachgriffin.weebly.comcoachgriffin.weebly.com/uploads/2/4/6/5/24656764/109_notes_arc_length__key.pdfGeo H 10.9 10.9 Arc Length Notes Ar c Lengt

Example 1: Given the circumference of a

circle is

18 , find the length of:

a) 35° arc b) 120° arc

Example 2: If the arc length of a circle with radius 10 is 5 , find the circumference and

area of the circle and measure of the arc.

Example 3: Find the perimeter of the following figures - EXACT answers.

a) b)

c) d)

24

26

10.9 Arc Length Geo H 10.9

Notes

Ar c Lengt h =

3

4

46

6

5

17 cm

15 cm

60°

20 cm

Page 2: Geo H 10.9 10.9 Arc Length Notes - coachgriffin.weebly.comcoachgriffin.weebly.com/uploads/2/4/6/5/24656764/109_notes_arc_length__key.pdfGeo H 10.9 10.9 Arc Length Notes Ar c Lengt

Example 4: Find the perimeter of each “sector” - the region bounded by arc AB and the

radii - EXACT answers.

a) b)

Example 5: Find arc length of AB. The triangles are always equilateral and O is the center

of the circle. (Note: none of the diagrams are to scale)

Example 6: Two pulleys are connected by a belt. The pulleys have radii of 14cm and 4cm.

The distance between their centers is 20 cm. Find the total length of the belt needed to go

around these two pulleys.

B

O

A

12 cm O

A

120°

B

AB = 18 cm

O

A

B

12

A

B

O

12