IDNStudy.com, ang iyong mapagkukunan ng mabilis at eksaktong mga sagot. Makakuha ng mabilis at eksaktong sagot sa iyong mga tanong mula sa aming mga eksperto na laging handang tumulong.

The standard equation of a circle with the center at (h, k) and a radius of r units is (x – h)²+ (y – k)² = r². Given the cross section which is a circle, find the equation of a circle in standard form with center at (0, -5) and one point on the circle is (2, 3).
show your solution​


Sagot :

EQUATION OF THE CIRCLE

Given

  • Point of the center = (0,-5)
  • One point of the circle = (2,3)

Find the distance between the two points.

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(2 - 0)² + (3 - (-5))²

d = √(2)² + (8)²

d = √4 + 64

d = √68

d = 217

The distance will be the radius of the circle.

Use the equation (x – h)²+ (y – k)² = r² to find the standard equation of the circle

(x – h)²+ (y – k)² = r²

x² + (y + 5)² = (2√17)²

x² + (y + 5)² = (4)(17)

x² + (y + 5)² = 68

[tex] \: [/tex]

#CarryOnLearning