167k views
1 vote
A circle has its center at (-2, 5) and a radius of 4 units. What is the equation of the circle? Answer choices:

(A) (x + 2)2 + (y - 5)2 = 16
(B) (x + 2)2+ (y + 5)2= 16
(C) (x + 2)2+(y - 5)2 = 4
(D) (x - 2)2+(y + 5)2 = 4

2 Answers

2 votes

Answer:

option (a) is correct.

The equation of a circle has its center at (-2, 5) and a radius of 4 units. is
(x+2)^2+(y-5)^2=16

Explanation:

Given : A circle has its center at (-2, 5) and a radius of 4 units.

We have to choose the correct equation representing this given circle.

The general equation of circle with center (h , k) and radius 'r' is given by equation
(x-h)^2+(y-k)^2=r^2

For the given circle with center at (-2, 5) and a radius of 4 units.

that is h = -2 , k = 5 and r = 4 , we have,


(x-h)^2+(y-k)^2=r^2 substitute, we have,


(x-(-2))^2+(y-5)^2=(4)^2

Simplify , we get,


(x+2)^2+(y-5)^2=16

Thus, option (a) is correct.

The equation of a circle has its center at (-2, 5) and a radius of 4 units. is
(x+2)^2+(y-5)^2=16

User DashAnimal
by
7.9k points
3 votes
The equation of the circle:
( x - h )² + ( y - k )² = r²;
h = - 2, k = 5, r = 4
Answer:
A ) ( x + 2 )² + ( y - 5 )² = 16
User OnlineCop
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories