Question

The circle below is centered on the origin. The hypotenuse of the right triangle within the circle is 5​ units long, has one endpoint at the center of the circle, and the other endpoint is on the circle.

Enter the equation of the circle:

Answer 1

Answer: x²+y²=25

Explanation:

Formula for a circle is:

(x-h)²+(y-k)²=r²

where (h, k) is your center and r is radus.

In your question, (h,k)=(0,0) because it says the center is at the origin and

r=5 because the hypotenuse of that triangle is the radius of the circle

You can substitute into the formula for a cirlcle with (0,0) and r=5

x²+y²=5²

x²+y²=25