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=

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
icon
Related questions
Question
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
Expert Solution
Step 1: We find arc and angle after watching the circle

Solution - 

Since you have posted multiple questions as per guidelines we can solve one question having only 3 sub parts. Please repost other. 

We have given a circle of radius r and angle on centre is 1 radian. 

After seeing the circle we have

know that this arc has a length of radius as the angle shown is 1 to the power of c

steps

Step by step

Solved in 4 steps with 14 images

Blurred answer
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning