Answer:
If AB is a tangent to the circle, the triangle ABO is right angled, as the angle where a tangent meets the circumference is always 90 degrees.
We also know that Pythogoras' theorem only holds for right angled triangles.
The hypotenuse is 12 + 8 as 12 is the radius so is 20.
16^2+12^2 = 256 + 144 = 400 = 20^2 so AB must be tangent.
Answer:
The diameter of the circle O is <em>12 units</em>
Step-by-step explanation:
There is no data in the image provided. To better help you, I'm assuming we have an arbitrary value of

and the triangle B0C is right
<u>Relations in the Circle</u>
The diameter (D) is twice the radius (r) and the radius is the distance measured from the center of the circle to any point of the circumference.
Since the triangle B0C has a right angle, BD is the hypotenuse and 0B=0C=r
Applying Pythagoras's theorem:

Thus we have




The diameter of the circle O is D=2(6) = 12 units
To find the volume you use the formula—> length x width x height.
For the first problem you’ll solve 5 x 3 x 2 which is 30.
For the second one you’ll do the same thing. For this one you’ll do 3 x 3 x 2 which is 18.
The first answer is C
The second answer is C
The third answer is B
Hope this helps!
Answer:
1) Option B - 25.12 ft
2) Option C - 24.1 ft
Step-by-step explanation:
1) Given : The circular rug has a diameter of 8.2 feet.
To find : Which measurement is closest to the circumference of the rug in feet?
Solution :
The circumference of rug is given by 
Where, d is the diameter = 8.2 feet.


The most closest measurement is 25.12 ft.
Therefore, option B is correct.
2) Given : A circle has a diameter of 5.2 feet.
To find : Which measurement is closest to the circumference of the circle in feet?
Solution :
The circumference of circle is given by 
Where, d is the diameter = 5.2 feet.


The most closest measurement is 24.1 ft.
Therefore, option C is correct.