The document discusses the standard form of a circle equation and provides examples of writing the equation of various circles given their center and radius. It begins by defining the components of a circle - the center (h,k) and radius r. Then it shows the standard form of a circle equation: (x-h)2 + (y-k)2 = r2. The rest of the document provides the center and radius of several circles and has the reader write out the corresponding standard equation for each one.
2. The center of a circle is given
by (h, k)
The radius of a circle is given
by r
The equation of a circle in
standard form is
(x – h)2 + (y – k)2 = r2
Slide 1
3. Circle A
The center is (16, 10)
The radius is 10
The equation is
(x – 16)2 + (y – 10)2 = 100
Slide2
4. Circle B
The center is (4, 20)
The radius is 10
The equation is
(x – 4)2 + (y – 20)2 = 100
Slide 3
5. Circle O
The center is (0, 0)
The radius is 12
The equation is
x 2 + y 2 = 144
Slide 4
6. (x – 3)2 + (y – 2)2 = 9
Center (3, 2)
Radius of 3
Slide 5
7. (x + 4)2 + (y – 1)2 = 25
Center (-4, 1)
Radius of 5
Slide 6
8. (x – 5)2 + y2 = 36
Center (5, 0)
Radius of 6
Slide 7
9. Write the standard equation of the circle:
Center (4, 7) Radius of 5
(x – 4)2 + (y – 7)2 = 25
Slide 8
10. Write the standard equation of the circle:
Center (-3, 8) Radius of 6.2
(x + 3)2 + (y – 8)2 = 38.44
Slide 9
11. Write the standard equation of the circle:
Center (2, -9) Radius of
(x – 2)2 + (y + 9)2 = 11
11
Slide 10
12. Write the standard equation of the circle:
Center (0, 6) Radius of
x 2 + (y – 6)2 = 7
7
Slide 11
13. Write the standard equation of the circle:
Center (-1.9, 8.7) Radius of 3
(x + 1.9)2 + (y – 8.7)2 = 9
Slide 12
