Answer:
7.069 ft²
Step-by-step explanation:
Given that:
Shape of rug = circular
Diameter of rug = 3 feets
The Area in square feet of the rug =?
Area of a circle :
πr²
r = Radius
r = diameter / 2 = 3 /2 = 1.5 feets
Area = π * 1.5^2
Area = 7.0685834
Area = 7.069 ft²
When we use arcsine, we are finding the angle while giving the trigonometric ratio.
Arcsin(u) = theta can be rewritten as:
sin(theta) = u
Sine is opposite over hypotenuse, so u/1 means that the side opposite to theta (the y value) is u, and the hypotenuse is 1.
We can use Pythagorean Theorem to find the adjacent (x value).
1^2 - u^2 = x^2
x = sqrt(1-u^2)
Back to the original question, we are trying to find cos(arcsin(u)). We just solved all the sides for our triangle using arcsin(u). Now we need to do cos(u).
Cosine is adjacent over hypotenuse.
So our answer is sqrt(1-u^2)/1
Or just sqrt(1-u^2)
The example of a right angle is that it's exactly 90°, the acute angle is less than 90°, and the obtuse angle is more than 90° but less than 180°.
Answer:
3.9375
Step-by-step explanation:
