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elixir [45]
3 years ago
10

A circle has a diameter with endpoints

Mathematics
1 answer:
Mars2501 [29]3 years ago
4 0

Answer:

<em>x² + y² = 841 </em>

Step-by-step explanation:

Midpoint of diameter is a center of a circle.

Coordinates of midpoint are

( x_{1} , y_{1} )

( x_{2} , y_{2} )

( \frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )

d = \sqrt{(x_{2} -x_{1})^2 +(y_{2} -y_{1})^2 }

Equation of a circle with center at (h, k) and radius "r" is (x - h)² + (y - k)² = r²

~~~~~~~~~~

C(20, 21)

D(- 20, 21)

( \frac{-20+20}{2} , \frac{-21+21}{2} ) = (0, 0)

d = \sqrt{(-20-20)^2 +(21+21)^2} = √3364 = 58

r = \frac{d}{2} = 29

x² + y² = 29²

<em>x² + y² = 841</em>

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