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padilas [110]
2 years ago
14

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

Mathematics
2 answers:
Vanyuwa [196]2 years ago
4 0
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
sdas [7]2 years ago
3 0

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

Step-by-step 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

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