Given:
The x and y axis are tangent to a circle with radius 3 units.
To find:
The standard form of the circle.
Solution:
It is given that the radius of the circle is 3 units and x and y axis are tangent to the circle.
We know that the radius of the circle are perpendicular to the tangent at the point of tangency.
It means center of the circle is 3 units from the y-axis and 3 units from the x-axis. So, the center of the circle is (3,3).
The standard form of a circle is:

Where, (h,k) is the center of the circle and r is the radius of the circle.
Putting
, we get


Therefore, the standard form of the given circle is
.
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Answer:
a)
,
,
,
, b)
,
,
, 
Step-by-step explanation:
a) The equation must be rearranged into a form with one fundamental trigonometric function first:





Value of x is contained in the following sets of solutions:
, 
, 
b) The equation must be simplified first:




Value of x is contained in the following sets of solutions:
, 
, 
Answer:
hope this helps you look it once.
Answer:

Step-by-step explanation:
Area of sector is given as θ/360*πr²
Where,
θ = central angel of sector, m < DCE = 60°
r = radius = 4 feet
Area of sector = 




Area of the sector = 8/3π ft²