On a coordinate plane, a circle has a center at (0, 0). Point (0, negative 5) lies on the circle. The point (0, 5) lies on a circle that is centered at the origin. Does (–3, –4) also lie on the circle? Identify the radius from the graph. r = __units Determine the distance from the center to (–3, –4) using the distance formula. distance =___ units Compare the radius to the distance. Does the point (–3, –4) also lie on the circle?

we know thatthe equation of a circle is(x-h)²+(y-k)²=r²where the center is the point (h,k)r is the radius if the center is the originso(h,k) is (0,0)the radius is the distance from point (0,5) to the origin (0,0)r=√[(-5)²+(0)²]> r=√25> r=5 unitsthe equation is(x-h)²+(y-k)²=r²> (x-0)²+(y-0)²=5²> (x)²+(y)²=25Does the point (–3, –4) also lie on the circle?the distance from the center to (–3, –4) isd=√[(-4)²+(-3)²]> d=√25>d=5 unitsd=rthereforethe point (-3,-4) also lie on the circle