4.1 Exercises
From Förberedande kurs i matematik 1
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Current revision
| Theory | Exercises |
Exercise 4.1:1
Write in degrees and radians
| a) | | b) | |
| c) | | d) | |
Loading...Exrecise 4.1:2
Transform to radians
| a) |  | b) | | c) | | d) | |
Exercise 4.1:3
Determine the length of the side marked
| a) |
| b) |
| c) |
|
![[Image]](/wikis/2008/bridgecourse1-ImperialCollege/img_auth.php/metapost/1/a/4/1a4188974a1caa361280af02375e56e5.png)
![[Image]](/wikis/2008/bridgecourse1-ImperialCollege/img_auth.php/metapost/0/6/6/066831e02445a8ea4b32a28fb47923e7.png)
![[Image]](/wikis/2008/bridgecourse1-ImperialCollege/img_auth.php/metapost/e/f/1/ef116e4b2875988ffff3a81102c7134b.png)
Answer | Solution a | Solution b | Solution c
Exercise 4.1:4
| a) | Determine the distance between the points (1,1) and (5,4). |
| b) | Determine the distance between the points(-2,5) and (3,-1). |
| c) | Find the point on the x-axis which lies as far from the point (3,3) as from (5,1). |
Answer | Solution a | Solution b | Solution c
Exercise 4.1:5
| a) | Determine the equation of a circle having its centre at (1,2) and radius 2. |
| b) | Determine the equation of a circle having its centre at (2,-1) and which contains the point (-1,1). |
Exercise 4.1:6
Sketch the following circles
| a) | | b) | |
| c) | |
Answer | Solution a | Solution b | Solution c
Exercise 4.1:7
Sketch the following circles
| a) | | b) | |
| c) | | d) | |
Answer | Solution a | Solution b | Solution c | Solution d
Exercise 4.1:8
How many revolutions does a wheel of radius 50 cm make when it rolls 10m?
Exercise 4.1:9
On a clock, the second hand is 8 cm long. How large an area does it sweep through in 10 seconds?
Exercise 4.1:10
A washing line of length 5.4 m hangs between two vertical trees that are at a distance of 4.8 m from each other. One end of the line is fixed 0.6 m higher than the other, and a jacket hangs from a
hanger 1.2 m from the tree where the line has its lower point of attachment. Determine how far below the
lower attachement point the hanger is hanging. (That is, the distance
![[Image]](/wikis/2008/bridgecourse1-ImperialCollege/img_auth.php/metapost/7/a/c/7ac1f013f4462acf5666ec550fa3d79f.png)
