We have been given that a right △ABC is inscribed in circle k(O, r).
m∠C = 90°, AC = 18 cm, m∠B = 30°. We are asked to find the radius of the circle.
First of all, we will draw a diagram that represent the given scenario.
We can see from the attached file that AB is diameter of circle O and it a hypotenuse of triangle ABC.
We will use sine to find side AB.
Wee know that radius is half the diameter, so radius of given circle would be half of the 36 that is 
.
Therefore, the radius of given circle would be 18 cm.
Answer: A, B and
Explanation:
Angle 3, 4, and 2 are the exterior angles because it locates outside
Answer:
3 boxes
Step-by-step explanation:
First, we need to find the area of the whole square, so we can find out how much to subtract from. We can easily do this by multiplying 16 by 16, since it is a square.
16*16=256 square feet.
Now, we just need to find the area of the circular rug, and subtract it from 256 to find the area not covered by the rug that needs to be tiled. Since the sides of the rug touch each side of the floor, than the diameter will be the same as the side length of the square. Thus, the diameter is 16.
Now we can use the equation <em>A=pir^2 </em>or <em>Area=pi*radius squared</em> to find the area of the circle. The radius is halve of the diameter, so divide 16 by 2 to get the radius, or 8. Now all we have to do is square 8 and multiply it by 3.14.
8^2=64
Now multiply.
64*3.14=200.96.
The area of the circle is 200.96, so subtract 200.96 from 256.
256-200.96=55.04.
So they will need 3 boxes to cover the area left.
Hope this helps!
Answer:
d=16
Step-by-step explanation:
d=2r=2·8=16
