3.3 Arc length We know that this arc has a length of The circle below has a radius of 5cm and the angle is Then the arc is X Өс radius, as the angle shown is 2c 5 cm So an angle of 2º has an arc of 2r in length; 3 has an arc of length radius lengths. 8c has an arc of Arclength=

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter70: Complex Practical Machine Applications
Section: Chapter Questions
Problem 6A: Determine the distance AB if CO = 19.8 mm.
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3.3 Arc length
We know that this arc has a length of
The circle below has a radius of 5cm and the angle is
Then the arc is
Өс
Өс
O
T
radius, as the angle shown is
So an angle of 2º has an arc of 2r in length; 3º has an arc of length
2c
SO
cm
3.4 Area of a sector
The circle below has a radius r and an area of
and
8C has an arc of
r has swept out 360° or
radius lengths.
Arclength=
37
radians.
radians produces area
radians produces area
radians produces area
Transcribed Image Text:3.3 Arc length We know that this arc has a length of The circle below has a radius of 5cm and the angle is Then the arc is Өс Өс O T radius, as the angle shown is So an angle of 2º has an arc of 2r in length; 3º has an arc of length 2c SO cm 3.4 Area of a sector The circle below has a radius r and an area of and 8C has an arc of r has swept out 360° or radius lengths. Arclength= 37 radians. radians produces area radians produces area radians produces area
Convert these to degrees:
a) 0.25m
-x (
b) 3.2c
c) 0.7πC
d) 1.6T
e) 7.5c
f) = π c
0.25T
(
Useful concepts about circles:
O
) =
36
0
Transcribed Image Text:Convert these to degrees: a) 0.25m -x ( b) 3.2c c) 0.7πC d) 1.6T e) 7.5c f) = π c 0.25T ( Useful concepts about circles: O ) = 36 0
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