SOLUTION: Here is the exact question: In the xy coordinate plane, the endpoints of a diameter of a circle "c" are (-10, 5) and (4, 5). What is the circumference of circle "c"?

Algebra ->  Circles -> SOLUTION: Here is the exact question: In the xy coordinate plane, the endpoints of a diameter of a circle "c" are (-10, 5) and (4, 5). What is the circumference of circle "c"?       Log On


   



Question 471924: Here is the exact question:
In the xy coordinate plane, the endpoints of a diameter of a circle "c" are
(-10, 5) and (4, 5). What is the circumference of circle "c"?

Found 2 solutions by jorel1380, MathLover1:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
4+-(-10)=14
2πr=14π..

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the endpoints of a diameter of a circle "c" are
(-10, 5) and (4, 5).
What is the circumference of circle "c"

the circumference of circle is: c=2r%28pi%29
so, we need to find out what is r equal
given:
the endpoints of a diameter of a circle (-10, 5) and (4, 5)
the distance between then is equal to a diameter
let's find the distance between (-10, 5) and (4, 5)

Solved by pluggable solver: Distance Formula to determine length on coordinate plane
The distance (d) between two points is given by the following formula:

d=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29

Thus in our case, the required distance is
d=sqrt%28%284--10%29%5E2+%2B+%285-5%29%5E2%29=+14+


For more on this concept, refer to Distance formula.



so, the distance d=14
we know that r=d%2F2...so, r=14%2F2=7
now we can find c

c=2r%28pi%29
c=2%2A7%28pi%29
c=14%28pi%29