Given:
Two endpoints of a diameter of a circle:
P (-7, -10)
Q (3, 2)
a) To find the center of the circle, find the midpoint of the two points:
midpoint:
(x2 - x1 )/ 2 , (y2 - y1) / 2
x= (2 - (-7))/2 = 4.5
y= (3 - (-10))/2 = 6.5
Therefore, the center of the circle is at C(4.5, 6.5)
b) To find the radius of the circle, we need to find the distance between the two points and divide by 2.
d = √(y2-y1)^2 + (x2 - x1)^2
d = √(2-(-7))^2 + (3 - (-10))^2
d = 5√10 = diameter
r = d/2 = 5√10 /2
Are you learning about anything right now that requires knowledge of trig or geometry? I think you should be fine! But if you run across anything involving trig, definitely visit with your teacher and ask for help!
A (-5,0) B (0,-2) C (-3,-4)
Answer: 1/2
Step-by-step explanation:
Circumference is equal to 2πr. Now, if the circumference itself is equal to pi, then the equation becomes the following:
π = 2πr
Divide both sides by pi:
1 = 2r
Divide both sides by 2:
r = 1/2