Question

Question 1 of 10

Which of the following is the equation for a circle with a radius of rand center
at (h, v)?
A. (x-v)² + (y-h)² = ₁²
B. (x-h)2 + (y-v)² = 2²
C. (x+ h)2 + (y+ v)² = ₁²
XA
OD. h²2² +2²=2²

Answer 1

B

Explanation:

The equation of the circle centered at (h,v) with radius r is:

`(x-h)^(2)+(y-v)^(2)=r^(2)`

Answer 2

The equation for a circle with a radius of r and center at (h, v) is:

B. (x-h)² + (y-v)² = r²

This is the standard form equation for a circle, where (h, v) represents the center of the circle and r represents the radius. The equation states that any point (x, y) on the circle is a distance of r away from the center point (h, v).

Option A is incorrect because it has the center point reversed (should be (h, v) instead of (v, h)) and the radius squared is represented by ₁² instead of r².

Option C is incorrect because it has the opposite signs for the center point (should be (h, v) instead of (-h, -v)) and the radius squared is represented by ₁² instead of r².

Option D is incorrect because it is not an equation for a circle, and the variables used do not match the standard form equation for a circle.