Answer:
a) (7,8)
b) r = 10
c) 
Step-by-step explanation:
a) Given the endpoints the diameter of the circle as A(-3,8) and B(17,8)
we should realize that the center of the circle lies exactly at the midpoint of these two points. let's denote the midpoint as 



this is the coordinate of the center of the circle.
b) The radius of the circle can be easily found by using the distance formula between the center point and either of the two endpoints of the diameter.
the general distance formula is:

in our case the equation changes to: (selecting the centre and point B)



side note: there are more alternate ways to find the radius for e.g (you can use the distance formula between the points A and B and that'll give you the length of the diameter which you can divide by 2 to get the radius) OR (you don't need to use the distance formula at all <u>since in this particular case</u> all the coordinates lie on the same horizontal line, so by simply subtracting the two x-coordinates of the center and either of A or B)
c) the ingredients needed to make the equation of the circle are the
- coordinates of the center:

- radius of the circle:

we can put this in the formula of the circle:

in our case the equation changes to:



this is the equation of the circle!
Answer:
The indefinite integral
=
ˣ
⁺ C
Step-by-step explanation:
x= 10sinθ
dx = 10cosθdθ
the step-to-step explanation is in the attachment
Answer:
Area of circle= 81π
Area of triangle= 371.8 yards
Step-by-step explanation:
<em>2) Area of circle = πr²</em>
<em>Area of circle = π*(18/2)²</em>
Area of circle = 81π
Therefore, the area of circle is 81π.
<em>4) Area of triangle = 1/2*base*height</em>
<em>Area of triangle = 1/2*22*33.8</em>
Area of triangle = 371.8 yards
Therefore, the area of the triangle is 371.8 yards.
!!
Answer:
9ft by 14ft
Step-by-step explanation:
Area:
9 x 14 = 126
Perimeter:
9 + 9 + 14 + 14 = 46