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Chapter 13: Q. 18 (page 526)

Find the center and radius of each circle.

x+72+y鈭�82=3625

Short Answer

Expert verified

The center is (-7, 8) and the radius is65

Step by step solution

01

Step-1 – Given

The given equation isx+72+y鈭�82=3625

02

Step-2 – To determine

We have to find the center and the radius of the given circle.

03

Step-3 – Calculation 

We compare the given equation x+72+y鈭�82=3625

with the standard form of a circle:x鈭�a2+y鈭�b2=r2

Here (a, b) is the center and r being the radius.

Comparing the two equations we get: a = - 7, b = 7and r =65 .

So, the center is (-7, 8) and the radius is65 .

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Most popular questions from this chapter

Write an equation of the circle that has the given center and radius.

C(0,0)鈥夆赌夆赌�;鈥夆赌夆赌�r=6

Find the center and radius of each circle.

x+32+y2=49

Find the distance between the two points. If necessary, you may draw graphs but you shouldn鈥檛 need to use the distance formula.

  1. (3, -4) and (-1, -4)

10. Find the distance between the points named. Give all answers in simplest

form.

  1. (0, 0) and (5, -3).
  2. (3, -2) and (-5, -2).
  3. (4, 4) and (-3, -3).

Use the distance formula to find the distance between the two points.

  1. (5, 4) and (1, -2)
See all solutions

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