BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.8, Problem 94E
To determine

To calculate: Theequation of a circle whose center is at (1,4) and radius is 8 units.

Expert Solution

Answer to Problem 94E

Theequation of the circle is (x+1)2+(y+4)2=64 .

Explanation of Solution

Given information:

The center of a circle is at (1,4) and radius is 8 units.

Formula used:

The standard form of the equation of the circle is (xh)2+(yk)2=r2 , where (h,k) denote the center of the circle and r denote the radius.

Calculation:

Consider the provided conditions that center of a circle is at (1,4) and radius is 8 units.

Recall that the standard form of the equation of the circle is (xh)2+(yk)2=r2 , where (h,k) denote the center of the circle and r denote the radius.

Compare, (h,k) and (1,4) also radius r is 8.

Here, h=1,k=4 and r=8 .

Substitute the values in standard equation of circle,

  (x(1))2+(y(4))2=82(x+1)2+(y+4)2=64

Thus, the equation of circle is (x+1)2+(y+4)2=64 .

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