Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary round your resu
lts to the nearest hundredth 180
1 answer:
Answer:
Option A. (-1, 0)
Step-by-step explanation:
In the figure attached,
Circle O is a unit circle (having radius r = 1 unit)
If a point A with central angles = θ, is lying on the circle then the coordinates of the point A will be,
x = r.cosθ
x = 1.cosθ = cosθ
and y = r.sinθ
y = 1.sinθ = sinθ
Therefore, coordinates representing the point A will be (cosθ, sinθ).
As per question the given point A is lying at P (a point having central angle θ = 180°)
Coordinates of point P will be
(x', y') → (cos180°, sin180°)
→ (-1, 0)
Therefore, Option A will be the answer.
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Answer:
Two hundred seventy three thousand and fifty .
Step-by-step explanation:
Given : (27 thousands 3 hundreds 5 ones) x 10
Solution:
27 thousands 3 hundreds 5 ones = 27,305
So,
Periods are counted from last .
The 1st period consists of ones, tens and hundred.
The 2nd period consists of thousand, 10 thousand and 100 thousands.
The 3rd period consists of million, 10 million and 100 million.
So, 273,050 is Two hundred seventy three thousand and fifty
Hence (27 thousands 3 hundreds 5 ones) x 10 is Two hundred seventy three thousand and fifty .
Answer:
x^2+y^2=9^2
Step-by-step explanation:
The standard equation of a circle is:
Where the center of a circle is (h,k) and r is the radius of the circle. In this case because a circle is equidistant from the center and we have a point where it passes through 9 that means that the radius is 9. However, since the standard equation states that we must write r in the form of this means that
. Therefore by plugging in the values we have: