Question

The circle below is centered at the origin and has a radius of 10. What is its
equation?
10
O A. x2 + y2 = 100
O B. x2 - y2 = 10
O c. x2 + y2 = 10
O D. x2 - y2 = 100

Answer 1

Answer:

x^2+y^2=100

Steps:-

We know Distance formula from origin

$\\ \sf\longmapsto \sqrt{x^2+y^2}$

Now

$\\ \sf\longmapsto \sqrt{x^2+y^2}=10$

$\\ \sf\longmapsto x^2+y^2=10^2$

$\\ \sf\longmapsto x^2+y^2=100$