# Geometry

The diameter of a circle has endpoints P(- 10, - 8) ) and Q(4, 4) . a. Find the center of the circle. bFind the radius. If your answer is not an integer, express it in radical form. . Write an equation for the circle.

1. 👍
2. 👎
3. 👁
1. If you are given two points (a,b) and (c,d)
the midpoint is ( (a+c)/2 , (b+d)/2 )
and the distance between them is √( (a-c)^2 + (b-d)^2 )

then let me know what you got for the equation of the circle.

1. 👍
2. 👎
👤
Reiny
2. the center is the midpoint of PQ

the radius is half the length of PQ

with (h,k) as the center, and r as the radius
... the circle equation is ... (x - h)^2 + (y - k)^2 = r^2

1. 👍
2. 👎

## Similar Questions

1. ### math help asap

1.which of the following is a radius of the circle a.DE b.AB C.CE 2.which of the following is a diameter of the circle a.ED b.EC c.BA 3.which of the following is a chord, but not a diameter, of the circle a.CE b.FD c.DE 4.what is

2. ### Mathematics

1. Find the circumference of the given circle. Round to the nearest tenth. (Circle with radius of 3.5 cm) -22.0 cm -38.5 cm -11.0 cm -42.8 cm 2. Find the area of the given circle. Round to the nearest tenth. (Circle with a

3. ### GEOMETRY

The diameter of a circle has endpoints P(–10, –2) and Q(4, 6). a.Find the center of the circle. b.Find the radius. If your answer is not an integer, express it in radical form. c.Write an equation for the circle.

4. ### Geometry midpoint formula

A circle on the Coordinate plane has a diameter with endpoints at (6,8) and (15,8). What are the coordinates of the center of the circle? What is the radius of the circle? Identify the coordinates of another point on the circle.

1. ### Mirielle

The endpoints of the diameter of a circle are (-6,2) and (10,-2). What are the coordinate of the center of the circle?

2. ### geometry

Point B is at (3,1). For which segment is B a midpoint? AC¯¯¯¯¯¯¯¯ with endpoints at A(1,−1) and C(8,6) AC¯¯¯¯¯¯¯¯ with endpoints at A(1,−1) and C(5,3) AD¯¯¯¯¯¯¯¯ with endpoints at A(1,−1) and C(6,4)

3. ### math

Is the following statement true or false? Justify your answer using what you know about diameters and chords. Every diameter of a circle is a chord. True. Every diameter of a circle is a chord. This is true because every diameter

4. ### Precalculus

A line segment has endpoints A=(1,3) and B=(13,19). a) Find the equation of the circle for which the segment AB is a diameter. Ans: (x - 7)^2 + (y - 11)^2 = 100 b) Accurate to the nearest tenth, the circumference of this circle is

1. ### Geometry

The diameter of a circle has endpoints of (-3,2) and (3,-2).Which is closest to the length of the diameter of the circle round to the nearest tenth.

2. ### math

A segment with endpoints C(-3, 3)and D(7, 3) is the diameter of a circle. a. What is the center of the circle? b. What is the length of the radius? c. What is the circumference of the circle? d. What is the equation of the circle?

3. ### geometry

The endpoints of the diameter of a circle are at (1,2) and (7,-6). What is the circumference of the circle, to the nearest tenth of a unit.

4. ### algebra

1)Write an equation for the parabola with focus (1,3)and vertex(0,3) answer= x= 1/4(y-3)^2 2)Write an equation for a circle if the endpoints of a diameter are at (1,1)and(1,-9) answer= (x-1)^2+(y+4)^2=25 3)Which is the equation of