Answers:
a)
b)
Step-by-step explanation:
a) The area of the sector of a circle is given by:
(1)
and
(2)
Where:
is the radius
(3) is the length of arc
is the angle in radians
In this case we have to find the value of . So, let's begin substituting the known values in (1):
(4)
Isolating :
(5)
Substituting (5) in (3):
(6)
Solving:
(7) At this point we have , but we need to find the value of in order to have the actual value of the length of arc.
Making (1)=(2):
(8)
Isolating :
(9)
Substituting (7) and (5) in (9):
(10)
Finding :
(10) Now that we have the value of the radius, we can substitute it in (7) and finally find the value of the
(11)
(12)
b) In this second case we have:
is the length of arc
is the angle in radians
the radius
We have to find the area of the sector and we will use equations (1) and (2):
(13)
(14)
(15)
(16)
Knowing :
This is the area of the sector of the circumference.
"The branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs." - Dictonary.com
In simple words, it is a study in math in which you study shapes, lines, planes, and points.
Answer:
The answer will be
Step-by-step explanation:
We have given that
And we have to find the value of
As
So the value of x = 16
Now we have to find the value of
So
Answer:
this is the ans
Step-by-step explanation:
hope it helps!!!