Ok, I have some questions, these are all using radians
Question 1
Convert the following angles to radians giving your answers correct to 3SF.
a) 20 degrees
b) -72 degrees
c) 400 degrees
d) -140 degrees
e) 760 degrees
Question 2
An angle "p" subtends an arc of length 25cm in a circle of radius R cm.
The area of the sector POQ is 72cm (squared)
Forumulate two equations in r and "p" Find the values of r and "p"
Question 3
A cylindrical pipe of diameter 1.5m contains water to a depth of 0.9m.
a) find the cross sectional area of the water
b) if the water is flowing at a rate of 60 litres per second fin dthe speed of the water in m/s
I would really appreciate any help offered, these are the final pieces of some homework and i really need help, thank you
Hello, Kim!
You're expected to know these formulas.
In a circle of radius with a central angle of radians:
. . the length of arc is: .
. . the area of the sector is: .
2) An angle subtends an arc of length 25cm in a circle of radius cm.
The area of the sector POQ is 72 cm².
(a) Formulate two equations in and
(b) Find the values of and
Part (a)
We know that the arc length is 25 cm.
. . So we have: . [1]
We know that the area of the sector is 72 cm².
. . So we have: . [2]
Part (b)
Divide [2] by [1]: .
Substitute into [1]: .