When searching for a lost animal, the search party often creates a circular area with a search radius. Two points of interest in
the search are the last known locations the animal was sighted. The two points of interest in this case are the pet’s home, which is located at (-4,5), and the neighbor’s yard, located at (-9,10). If the pet’s home is the center of the circle and the neighbor's yard is on the circle, find the radius of the circle.
1 answer:
Let
C----------> the center of a circle
C (-4,5)
A-----------> a point on the circle
A (-9,10)
we know that
the distance between point A and point C is the radius of the circle
A (-9,10) C (-4,5)
d=√[(y2-y1)²+(x2-x1)²]--------> √[(5-10)²+(-4+9)²]
=√[(-5)²+(5)²]------> √[(25)+(25)]---------> √50
d=7.07 units
r=d--------> r=7.07 units
the equation of a circle is
(x+4)²+(y-5)²=50
see the attached figure
the answer is
the radius of a circle is 7.07 units
C----------> the center of a circle
C (-4,5)
A-----------> a point on the circle
A (-9,10)
we know that
the distance between point A and point C is the radius of the circle
A (-9,10) C (-4,5)
d=√[(y2-y1)²+(x2-x1)²]--------> √[(5-10)²+(-4+9)²]
=√[(-5)²+(5)²]------> √[(25)+(25)]---------> √50
d=7.07 units
r=d--------> r=7.07 units
the equation of a circle is
(x+4)²+(y-5)²=50
see the attached figure
the answer is
the radius of a circle is 7.07 units
You might be interested in