a. Midpoint formula for center:
x-coordinate: (-7+3)/2 = -2
y-coordinate: (-4+2)/2 = -1
Center of circle is (-2,-1).
b. Distance formula for radius:
√[(3-(-7))² + (2-(-4))²]
= √[10² + 6²]
= √(100 + 36)
= √136
Simplified, the radius is √34.
c. Using center and radius:
Equation of circle:
(x+2)² + (y+1)² = (√34)²
(x+2)² + (y+1)² = 34
A diameter of a circle has endpoints P(-7, -4) and Q (3,2).
a. Find the center of the circle (hint: use midpoint formula).
b. Find the radius. If your answer is not and integer, express in radical form. (hint: use distance formula).
(You should get radius = √34 for your answer).
c. Write an equation for the circle.
(You should get equation: (x+2)² + (y+1)² = 34 for your answer).
Show work.
(This is 10th grade math, please don't make it advanced, shorten the steps).
1 answer
1 answer