Math  /  Geometry

QuestionZain draws a circle with radius rr and center (h,k)(h, k) in the coordinate plane. He places the point (x,y)(x, y) on the circle. How can Zain use his drawing to derive the general equation of a circle in standard form? Use the drop-down menus to explain your answer.
Click the arrows to choose an answer from each menu. Using any center point (h,k)(h, k) and any point on the circle (x,y)(x, y), zain can draw a right triangle that has a hypotenuse of length rr land legs of lengths Choose... * Then, Zain can derive the general equation of a circle in standard form by applying the Choose...

Studdy Solution
Write the general equation of a circle in standard form:
- The derived equation r2=(xh)2+(yk)2r^2 = (x - h)^2 + (y - k)^2 is the standard form of the equation of a circle.
The general equation of a circle in standard form is:
(xh)2+(yk)2=r2 (x - h)^2 + (y - k)^2 = r^2

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