LaQuisha has a sprinkler that waters a circular area. The diameter of the area that the sprinkler waters is 20 feet. The actual sprinkler is located at the origin of the coordinate plane. Write an equation that describes the circumference of the circular area that the sprinkler waters.
How would I do this problem? If you could explain this clearly, it would be much appreciated. Thanks :)
Don't we just want the circumference of a circle with a radius of 10 ?
C = 2πr
C = 20π
To find the equation that describes the circumference of the circular area that the sprinkler waters, we can use the formula for the circumference of a circle. The formula for the circumference, C, of a circle is given by:
C = πd
where d is the diameter of the circle and π is a mathematical constant approximately equal to 3.14159.
In this case, you are given the diameter of the circular area that the sprinkler waters, which is 20 feet. So, we can substitute this value into the formula:
C = π(20)
Simplifying this equation gives us:
C = 20π
Therefore, the equation that describes the circumference of the circular area that the sprinkler waters is C = 20π.
Note that the actual sprinkler is located at the origin of the coordinate plane, which means that the circular area will be centered at the origin.