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Chapter 1: Q 10. (page 50)

Find the center and radius of the circle. Write the standard form of the equation.

Short Answer

Expert verified

Center is 1,2.

Radius is 2units.

Standard equation of a circle is(x-1)2+(y-2)2=2.

Step by step solution

01

Step 1. Given information

Figure is as follows:

02

Step 2. Find the center and radius of a circle.

Diameter is the distance between the points (2,3)and 0,1

Diameter =(2-0)2+(3-1)2

=4+4=22

Center is the midpoint of the points 2,3and0,1

Center=2+02,3+12=(1,2)

03

Step 3. Find the standard form of an equation of a circle.

Equation of a circle with center h,kand radius ris (x-h)2+(y-k)2=r2

Therefore, equation of the circle with center 1,2and radius 2is

(x-1)2+(y-2)2=(2)2

(x-1)2+(y-2)2=2

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Most popular questions from this chapter

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

x-2=3

Find the midpoint of the line segment joining the points P1 and P2 .

P1=(3,-4);P2=(5,4)

Tell whether the given points are on the graph of the equation.

Equation:y=x4-xPoints:(0,0);(1,1);(-1,0)

Find the midpoint of the line segment joining the points P1 and P2 .

P1=(-4,-3);P2=(2,2)

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

x+7x-1=x+12
See all solutions

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