EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. The radius is 3 and...

4
EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. e radius is 3 and the center is at the origin. x 2 + y 2 = r 2 x 2 + y 2 = 3 2 x 2 + y 2 = 9 Equation of circle Substitute. Simplify. ANSWER The equation of the circle is x 2 + y 2 = 9

Transcript of EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. The radius is 3 and...

Page 1: EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. The radius is 3 and the center is at the origin. x 2 + y 2 = r 2 x 2 +

EXAMPLE 1 Write an equation of a circle

Write the equation of the circle shown.

The radius is 3 and the center is at the origin.

x2 + y2 = r2

x2 + y2 = 32

x2 + y2 = 9

Equation of circle

Substitute.

Simplify.

ANSWER

The equation of the circle is x2 + y2 = 9

Page 2: EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. The radius is 3 and the center is at the origin. x 2 + y 2 = r 2 x 2 +

EXAMPLE 2 Write the standard equation of a circle

Write the standard equation of a circle with center (0, –9) and radius 4.2.

SOLUTION

(x – h)2 + ( y – k)2 = r2

(x – 0)2 + ( y – (–9))2 = 4.22

x2 + ( y + 9)2 = 17.64

Standard equation of a circle

Substitute.

Simplify.

Page 3: EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. The radius is 3 and the center is at the origin. x 2 + y 2 = r 2 x 2 +

GUIDED PRACTICE for Examples 1 and 2

Write the standard equation of the circle with the given center and radius.

1. Center (0, 0), radius 2.5

x2 + y2 = 6.25

ANSWER

Page 4: EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. The radius is 3 and the center is at the origin. x 2 + y 2 = r 2 x 2 +

GUIDED PRACTICE for Examples 1 and 2

Write the standard equation of the circle with the given center and radius.

2. Center (–2, 5), radius 7

(x + 2)2 + ( y – 5)2 = 49

ANSWER


Section 1.5 Circles. OBJECTIVES -Write standard form for the equation of a circle. -Find the intercepts of a circle and graph. -Write the general form.

Section 1.5 Circles. OBJECTIVES -Write standard form for the equation of a circle. -Find the intercepts of a circle and graph. -Write the general form.

4.1 - The standard from for an equation of a circle ... - The...4.1 The standard from for an equation of a circle ... of a circle in general form that has (3 ... for an equation of

4.1 - The standard from for an equation of a circle ... - The...4.1 The standard from for an equation of a circle ... of a circle in general form that has (3 ... for an equation of

Print - NVCCFinding the General Equation of a Circle Find the gener equation of the circle whose center is (1, —2) and whose graph contains the point 4, To find the equation of Circle,

Print - NVCCFinding the General Equation of a Circle Find the gener equation of the circle whose center is (1, —2) and whose graph contains the point 4, To find the equation of Circle,

Section 6.2 – The Circle. Write the standard form of each equation. Then graph the equation. center (0, 3) and radius 2 h = 0, k = 3, r = 2.

Section 6.2 – The Circle. Write the standard form of each equation. Then graph the equation. center (0, 3) and radius 2 h = 0, k = 3, r = 2.

€¦ · Geometry ID: 3 Name___________________________________ Assignment Date________________ Period____ Use the information provided to write the equation of each circle. 1 ...

€¦ · Geometry ID: 3 Name___________________________________ Assignment Date________________ Period____ Use the information provided to write the equation of each circle. 1 ...

U6-day1 · 3-6 -q -z q +36 Write an equation of a circle given the following information. Center Radius 15 1/3 Equation Write an equation of each circle described below. Show work!

U6-day1 · 3-6 -q -z q +36 Write an equation of a circle given the following information. Center Radius 15 1/3 Equation Write an equation of each circle described below. Show work!

Essential Understanding Theorem 12-16 Equation of a Circlewhslmeyer.weebly.com/uploads/5/8/1/8/58183903/12-5.pdf · Objectives To write the equation of a circle To find the ... 2,

Essential Understanding Theorem 12-16 Equation of a Circlewhslmeyer.weebly.com/uploads/5/8/1/8/58183903/12-5.pdf · Objectives To write the equation of a circle To find the ... 2,

Write an Equation Using the Center and Radius A. Write the equation of the circle with a center at (3, –3) and a radius of 6. (x – h) 2 + (y – k) 2.

Write an Equation Using the Center and Radius A. Write the equation of the circle with a center at (3, –3) and a radius of 6. (x – h) 2 + (y – k) 2.

1 Warm-Up a)Write the standard equation of a circle centered at the origin with a radius of 2. b)Write the equation for the top half of the circle. c)Write.

1 Warm-Up a)Write the standard equation of a circle centered at the origin with a radius of 2. b)Write the equation for the top half of the circle. c)Write.

EQ: How do you write the equation of a circle? What does each piece in the equation represent? Demonstrated in writing in summary at conclusion of notes.

EQ: How do you write the equation of a circle? What does each piece in the equation represent? Demonstrated in writing in summary at conclusion of notes.

Notes 10.2: Circles - CVUSD Home Analy… · Ex 1: Write the equation of a circle with center (–3, 4) and radius r = 6. Standard Form of the Equation of a Circle Use the Distance

Notes 10.2: Circles - CVUSD Home Analy… · Ex 1: Write the equation of a circle with center (–3, 4) and radius r = 6. Standard Form of the Equation of a Circle Use the Distance

1.) Write the equation of a circle in standard form with ...perrylocal.org/meinkea/files/2011/10/Conics-Notes-part-1.pdf · Write the equation of a circle in standard form with radius

1.) Write the equation of a circle in standard form with ...perrylocal.org/meinkea/files/2011/10/Conics-Notes-part-1.pdf · Write the equation of a circle in standard form with radius

Circle Equations 3 forms of the equation Transformational ...-+Circle+Equations+... · Circle Equations 3 forms of the equation Transformational Form: Standard Form: General Form:

Circle Equations 3 forms of the equation Transformational ...-+Circle+Equations+... · Circle Equations 3 forms of the equation Transformational Form: Standard Form: General Form:

 · 2017-01-23 · 6) 7) Given the quadratic equation: y = 4x2 + 24x — 9 a) Write the equation in vertex form. b) State the turning point. Write e equation of the circle in center-radius

 · 2017-01-23 · 6) 7) Given the quadratic equation: y = 4x2 + 24x — 9 a) Write the equation in vertex form. b) State the turning point. Write e equation of the circle in center-radius

Warm Up Write the equation of a circle with center (-3,4) and radius = 5 Solve the system of equations.

Warm Up Write the equation of a circle with center (-3,4) and radius = 5 Solve the system of equations.

Circles: Objectives/Assignment Write the equation of a circle. Use the equation of a circle and its graph to solve problems. Graphing a circle using its.

Circles: Objectives/Assignment Write the equation of a circle. Use the equation of a circle and its graph to solve problems. Graphing a circle using its.

12-5 Circles in the Coordinate Plane To write an equation of a circle. To write an equation of a circle. To find the center and radius of a circle. To.

12-5 Circles in the Coordinate Plane To write an equation of a circle. To write an equation of a circle. To find the center and radius of a circle. To.

12.1 Equation of a circle.notebook...7) Write an equation of the circle whose center is (-9, 0) and whose radius is 5. 8) Write an equation of the circle whose center is (a, b) and

12.1 Equation of a circle.notebook...7) Write an equation of the circle whose center is (-9, 0) and whose radius is 5. 8) Write an equation of the circle whose center is (a, b) and

Tangent Equation of a Circle PPT 1

Tangent Equation of a Circle PPT 1

SWBAT: Write equations and graph circles in the coordinate ......SWBAT: Write equations and graph circles in the coordinate plane. Example 4: Writing the Equation of a Circle Given

SWBAT: Write equations and graph circles in the coordinate ......SWBAT: Write equations and graph circles in the coordinate plane. Example 4: Writing the Equation of a Circle Given