(x−h)2+(y−k)2=r2 ( x – h ) 2 + ( y – k ) 2 = r 2 is the equation form for a circle with r radius and (h,k) as the center point. In this case, r=√26 and the center point is (2,7) . The equation for the circle is (x−(2))2+(y−(7))2=(√26)2 ( x – ( 2 ) ) 2 + ( y – ( 7 ) ) 2 = ( 26 ) 2 .
What is the center of the circle that has a diameter whose endpoints are 6 and 18 10 )?
The given end points of the diameter are (6,−4) and (18,10) . The center point of the circle is the center of the diameter, which is the midpoint between (6,−4) and (18,10) . In this case the midpoint is (12,3) . Use the midpoint formula to find the midpoint of the line segment.
What are the endpoints of a diameter?
The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints are on the circumference of the circle. The given end points of the diameter are (−2,4) and (4,8) .
What is the equation of the circle?
We know that the general equation for a circle is ( x – h )^2 + ( y – k )^2 = r^2, where ( h, k ) is the center and r is the radius.
What is the center of the circle whose diameter has endpoints 18 13 and 4 3?
The center of the circle whose diameter has endpoints (18, -13) and (4, -3) will be the midpoint of the coordinates.
How do you find the end of a diameter?
Step-by-step explanation: Let the coordinates of the other end of the diameter be (x,y). It is given that the coordinates of one end of a diameter of a circle are (2,3) and the coordinates of its centre are (-2,5). The center is the midpoint of end points of a diameter. They give you the endpoints of the diameter.
How to find the circle by the diameter end points?
In this case, r = √13 r = 13 and the center point is (1,6) ( 1, 6). The equation for the circle is (x−(1))2 +(y−(6))2 = (√13)2 ( x – ( 1)) 2 + ( y – ( 6)) 2 = ( 13) 2. The circle equation is (x−1)2 +(y−6)2 = 13 ( x – 1) 2 + ( y – 6) 2 = 13.
How to find the center of a circle?
The center point of the circle is the center of the diameter, which is the midpoint between (−2,4) ( – 2, 4) and (4,8) ( 4, 8). In this case the midpoint is (1,6) ( 1, 6). Tap for more steps… Use the midpoint formula to find the midpoint of the line segment. Substitute in the values for ( x 1, y 1) ( x 1, y 1) and ( x 2, y 2) ( x 2, y 2).
How to calculate the radius of a circle?
The radius is any line segment from the center of the circle to any point on its circumference. In this case, r r is the distance between (1,6) ( 1, 6) and (−2,4) ( – 2, 4). Tap for more steps… Use the distance formula to determine the distance between the two points.
