The circumference of a circle is pi x diameter. Therefore, we can use this in reverse order as well.
I’ll be using 3.14 as pi, but if you need a more exact answer you can always use the pi function on a calculator.
37.68/3.14 = 12
Therefore, the diameter must be 12.
Since the radius is half the diameter, we can divide by 2 to find the radius.
12/2 = 6
Therefore, the radius of our circle is 6.
The area of a circle is equal to pi x radius squared.
Since we know our radius, we can solve.
Using PEMDAS, we know to use exponents first, so 6 squared is equal to 36.
From there, we can multiply.
36 x 3.14 = 113.04
And there we have your answer! 113.04 is the area of the circle.
Hope this helped :)
Answer:
The coordinates of the P' point are (-17.3,-10).
Step-by-step explanation:
We can use the components of the vector from 0 to P point. We know that the diameter is 40 meters, so the magnitude of the vector will be 20 m.
Now, the angle from the negative x-direction to the vector is 210°-180° = 30°.
The x-component of the vector will be:


It is negative because the component is in the negative x-direction.
The y-component of the vector will be:


It is negative too because the component is in the negative y-direction.
Therefore, the coordinates of the P' point are P'(-17.3,-10)
I hope it helps you!