The angle adjacent to angle 6 is the one we need to find first. To do this, add the measures of the intercepted arcs and divide by 2. 60 + 50 = 110, and half of that is 55. That means that both adjacent angles to the angle 6 are 55 (vertical angles are congruent). The measure of all the angles added together is 360 and angle 6 is vertical to the other "sideways" angle, so they are congruent as well. 360 - 55 - 55 = 250. Split that up between angle 6 and its vertical angle to get that each of those measure 125. Angle 6 measures 125, choice b from above.
Answer:
Terminal point (0, -1); sin Ø = -1 ⇒ A
Step-by-step explanation:
In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis
- The terminal point on the positive part of the x-axis is (1, 0),which means Ф = 0° or 360° and cosФ = 1, sinФ = 0
- The terminal point on the positive part of the y-axis is (0, 1),which means Ф = 90° and cosФ = 0, sinФ = 1
- The terminal point on the negative part of the x-axis is (-1, 0),which means Ф = 180° and cosФ = -1, sinФ = 0
- The terminal point on the negative part of the y-axis is (0, -1),which means Ф = 270° and cosФ = 0, sinФ = -1
In a unit circle
∵ Ф = 270°
→ By using the 4th rule above
∴ The terminal point is (0, -1)
∴ sinФ = -1
∴ Terminal point (0, -1); sin Ø = -1
Answer:
whattt do I have to do translate what???
Answer:
36π
Step-by-step explanation:
The area of a circle is given as:
where r = radius of the circle
The area of a sector of a circle is given as:
where α = central angle in radians
Since 
is the area of a circle, A, this implies that:
A circle has a sector with area 33 pi and a central angle of 11/6 pi radians.
Therefore, the area of the circle, A, is:
The area of the circle is 36π.
