Answered

Join IDNLearn.com and start exploring the answers to your most pressing questions. Our experts are ready to provide prompt and detailed answers to any questions you may have.

In the diagram, a circle centered at the origin, a right triangle, and the Pythagorean theorem are used to derive the equation of a circle, x2 + y2 = r2.

On a coordinate plane, circle Q is centered at the origin with radius r. Triangle P Q S is shown. Point Q is at (0, 0) and points P is at (x, y). The length of Q P is r, the length of P S is y, and the length of Q S is x. Angle P S Q is a right angle.

If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle, which could represent the equation of the new circle?

(h + x)2 + (k + y)2 = r2
(x – h)2 + (y – k)2 = r2
(k + x)2 + (h + y)2 = r2
(x – k)2 + (y – h)2 = r2

Sagot :

Based on the given information, the equation of this new circle is B. (x - h)² + (y - k)² = r²

What is the equation of a circle?

The equation of a circle of radius r represents all the points that lie on the circumference of the given circle.

The equation of a circle is:

x² + y² = r²

Where:

r is the radius of a circle.

After translating h units along the x-axis and k units along the y-axis on a coordinate plane,

The equation of this new circle is given by:

(x - h)² + (y - k)² = r²

Where h and k represent the coordinates at the center.

Thus, option B is correct.

Read more on circle here:

brainly.com/question/14078280

#SPJ1

View image Shivishivangi1679
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. For precise answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.