Download presentation

Presentation is loading. Please wait.

Published byJoella Stanley Modified over 9 years ago

1
10.6 Equations of a Circle Standard Equation of a Circle Definition of a Circle

2
A circle is a set of points a given distance from one point called the center. The distance from the center is called the radius

3
Standard equation of the circle If the circle is at the origin x 2 + y 2 = r 2 r is the radius If the circle is not at the origin The center is at (h, k)

4
Standard equation of the circle If the circle is at the origin x 2 + y 2 = r 2 r is the radius If the circle is not at the origin Solve for r

5
Write the equation of Circle Center at ( -5,0) and radius 4.8 h =? k =? r = 4.8

6
Write the equation of Circle Center at ( -5,0) and radius 4.8 h =-5 k =0 r = 4.8

7
Write the equation of Circle Center at ( 4, -3) and a point on the circle (2,1) h = k = r = x = y =

8
Write the equation of Circle Center at ( 4, -3) and a point on the circle (2,1) h = 4 k = - 3 r = x = 2 y = 1

9
Write the equation of Circle Center at ( 4, -3) and a point on the circle (2,1) h = 4 k = - 3 r 2 = 20 x = 2 y = 1

10
Given the equation of the Circle (x – 13) 2 + (y – 6) 2 = 5 2 Tell if the point is inside or outside the circle. (5, 6)

11
Given the equation of the Circle (x – 13) 2 + (y – 6) 2 = 5 2 Tell if the point is inside or outside the circle. (5, 6)(5 -13) 2 + (6 – 6) 2 is it, or = 5 2 ( - 8) 2 + 0 2 = 64 = 25 Greater then outside the circle. Less then Inside the circle. Equal is on the circle.

12
Given the equation of the Circle (x – 13) 2 + (y – 6) 2 = 5 2 Tell if the point is inside or outside the circle. (5, 6)Outside (14,8)

13
Given the equation of the Circle (x – 13) 2 + (y – 6) 2 = 5 2 Tell if the point is inside or outside the circle. (5, 6)Outside (14,8)In (20, 9)

14
Given the equation of the Circle (x – 13) 2 + (y – 6) 2 = 5 2 Tell if the point is inside or outside the circle. (5, 6)Outside (14,8)In (20, 9)Outside

15
Given the equation of the Circle (x – 13) 2 + (y – 6) 2 = 5 2 Tell if the point is inside or outside the circle. (5, 6)Outside (14,8)In (20, 9)Outside (16, 2)

16
Given the equation of the Circle (x – 13) 2 + (y – 6) 2 = 5 2 Tell if the point is inside or outside the circle. (5, 6)Outside (14,8)In (20, 9)Outside (16, 2)On

17
Homework Page 638 – 639 # 7 – 25, 33 - 39

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google