How do you find the endpoints of a diameter?
Explanation: If endpoints of a diameter of a circle are located at (5,9) and (11,17) , center is given by the midpoint of line joining them i.e. (5+112,9+172) i.e. (8,13) . Radius is distance between (8,13) and (5,9) i.e. √(8−5)2+(13−9)2=√9+16=√25=5 .
How do you find the diameter of two points?
A line segment connecting two points on the circle and going through the center is called a diameter of the circle. Assume that (x,y) are the coordinates of a point on the circle shown. The center is at (h,k) , and the radius is r . Use the Distance Formula to find the equation of the circle.
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. So add 21 to both sides to get the constant term to the righthand side of the equation. Then complete the square for the y terms.
How do you find the area of a circle with endpoints?
A = r^2 * pi where A is the area, and r is the radius of the circle. Let us calculate the radius. We are given the endpoints of the diameter.
How do you find the center of a circle with diameter endpoints?
(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 .
How do you find the length of the diameter of a circle?
If you know the radius of the circle, double it to get the diameter. The radius is the distance from the center of the circle to its edge. If the radius of the circle is 4 cm, then the diameter of the circle is 4 cm x 2, or 8 cm. If you know the circumference of the circle, divide it by π to get the diameter.
How do you find the radius of a circle with the center?
The center-radius form is: (x−h)2+(y−k)2=r2 Here, the center point is denoted by (h,k) and r is the radius of the circle. The first example he does is: Find the center and radius of the circle given by the equation (x−2)2+(y+4)2=25.
How do you find the center and radius of a circle with an equation?
The center-radius form of the circle equation is in the format (x – h)2 + (y – k)2 = r2, with the center being at the point (h, k) and the radius being “r”. This form of the equation is helpful, since you can easily find the center and the radius.