Linda throws a dart that hits the square shown below:
2 answers:
The picture in the attached figure
step 1
find the area of a square
area of a square=b²
b in this problem is the diameter of a circle
b=2*9------> b=18 units²
area of a square=18²-----> 324 units²
step 2
find the area of a circle
area of a circle=pi*r²
r=9 units
area of a circle=pi*9²------> 254.34 units²
step 3
find <span>the probability that the dart hits a point in the circle
P=area of the circle/area of the square
P=254.34/324------> P=0.785-----> 78.5%
the answer is
78.5%
</span>
step 1
find the area of a square
area of a square=b²
b in this problem is the diameter of a circle
b=2*9------> b=18 units²
area of a square=18²-----> 324 units²
step 2
find the area of a circle
area of a circle=pi*r²
r=9 units
area of a circle=pi*9²------> 254.34 units²
step 3
find <span>the probability that the dart hits a point in the circle
P=area of the circle/area of the square
P=254.34/324------> P=0.785-----> 78.5%
the answer is
78.5%
</span>
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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.
