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Chapter 13: Q. 21 (page 526)

Write an equation of the circle that has the given center and radius.C(3,0)鈥夆赌夆赌�;鈥夆赌夆赌�r=8

Short Answer

Expert verified

The equation of the circle isx鈭�32+y2=64

Step by step solution

01

Step-1 – Given

The given center = C(3, 0) and radius = r = 8.

02

Step-2 – To determine

We have to find the equation of the circle.

03

Step-3 – Calculation 

Given that center = (a, b) = (3, 0) and radius = r = 8.

We will plug them in the standard form of a circle formula to get the equation:

x鈭�a2+y鈭�b2=r2

x鈭�32+y鈭�02=82x鈭�32+y2=64

So, the equation of the circle is x鈭�32+y2=64.

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Most popular questions from this chapter

A line with slope鈭�52 passes through points (7, -4) and (?, 6).

In Exercises 20 and 21 show that points P, Q, and R are collinear by showing that PQ and OR have the same slope.

P(-8, 6) Q(-5, 5) R(4, 2)

2. Which of the following points lie on a horizontal line through C?

(2, 4) (2, -4) (0, 4)

(4, 3) (15, 4) (-4, 3)

In Exercises 27-32 find and then compare lengths of segments.

Quadrilateral TAUL has vertices T(4, 6), A(6, -4), U(~4, -2), and L(-2, 4), Show that the diagonals are congruent.

Find the slope of the line through the points named. If the slope is not defined, write not defined.

(6, -6); (-6, -6)
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