At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
Answer:
see below
Step-by-step explanation:
The center of the circle is 1/2 way between the two endpoints
center = ( (x1+x2)/2, (y1+y2)/2)
center = ( (-10+4)/2, (-2+6)/2)
center = ( (-6)/2, (4)/2)
center = ( -3,2)
The length of the diameter is
d= sqrt( ( y2-y1)^2 + (x2-x1)^2 )
d= sqrt( ( 6 - -2)^2 + (4 - -10)^2 )
d= sqrt( ( 6 +2)^2 + (4 +10)^2 )
d= sqrt( ( 8)^2 + (14)^2 )
d = sqrt(64+196)
d =sqrt(260)
d = sqrt(4*65)
d = 2 sqrt(65)
The radius is 1/2 of the diameter
r = 2 sqrt(65)/2 = sqrt(65)
The equation of a circle is given by
( x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
( x- -3)^2 + (y-2) ^2 = ( sqrt(65) )^2
( x+3) ^2 + ( y-2) ^2 = 65
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.