Point P lies in plane M. How many circles are there in plane M that have center P and a circumference of 6π inches?
a) none
b) one
c) two
d) four
e) more than four
Ty to draw more than one on a piece of paper.
To determine the number of circles in plane M that have center P and a circumference of 6π inches, we need to consider the properties of circles.
A circle is defined by its center and its circumference. The circumference of a circle is the distance around its outer boundary. In this case, we are given that the circumference is 6π inches.
The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference and r is the radius of the circle. Rearranging the formula, we have r = C / (2π).
In this case, the circumference is 6π inches, so the radius would be 6π / (2π) = 3 inches.
Now, to answer the question, we need to consider how many circles with radius 3 inches and center P can be drawn in plane M.
Since we know that a circle is defined by its center, there can be only one circle with center P in plane M. Therefore, the answer is:
b) one