contestada

101
y
9
8
Which equation represents a circle with the same center as
the circle shown but with a radius of 2 units?
W (x-4)² + (y – 5)2=2
(x – 4)2 + (y – 5)2 = 4
(x - 5)2 + (-4)2 = 2
(x - 5)2 + (-4)2 = 4
7
6
5
4
3
2
1
2
3
4
6
CO
9 10

101 y 9 8 Which equation represents a circle with the same center as the circle shown but with a radius of 2 units W x4 y 522 x 42 y 52 4 x 52 42 2 x 52 42 4 7 class=

Respuesta :

Answer:

second option

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (4, 5) and r = 2 , thus

(x - 4)² + (y - 5)² = 2², that is

(x - 4)² + (y - 5)² = 4 ← equation of circle

MrRoyal

The equation of the circle with a center of (4,5) and a radius of 2 units is (x - 4)² +(y - 5)² = 4

How to determine the circle equation?

The center of the circle is given as:

Center (a,b) = 4, 5

The radius is given as:

Radius, r = 2

The equation of the circle is calculated using:

(x - a)² + (y - b)² = r²

Substitute known values

(x - 4)² +(y - 5)² = 2²

Evaluate the exponent of 2

(x - 4)² +(y - 5)² = 4

Hence, the equation of the circle is (x - 4)² +(y - 5)² = 4

Read more about circle equations at:

https://brainly.com/question/1559324

#SPJ5

Otras preguntas