Respuesta :
we know that
the equation of the circle with center (0, 0) is ---------> x²+y²=r²
Step 1
find the radius
the radius is simply the distance from the center to the point (5,2)
d=√[(5²+2²)]-------> d=√29
r=√29
the equation of the circle is
x²+y²=29
the answer is x²+y²=29
the equation of the circle with center (0, 0) is ---------> x²+y²=r²
Step 1
find the radius
the radius is simply the distance from the center to the point (5,2)
d=√[(5²+2²)]-------> d=√29
r=√29
the equation of the circle is
x²+y²=29
the answer is x²+y²=29
1. You have that:
r²=(x-h)²+(y-k)²
2. The center of this circle is (0,0), then:
h=0
k=0
3. When you substitute the values of h and k into the equation, you have:
r²=(x-h)²+(y-k)²
r²=(x-0)²+(y-0)²
r²=x²+y²
3. Now, you must find the radius "r".
4. You know that the point is (5,2), so:
r²=x²+y²
5. Finally:
√29=x²+y²
r²=(x-h)²+(y-k)²
2. The center of this circle is (0,0), then:
h=0
k=0
3. When you substitute the values of h and k into the equation, you have:
r²=(x-h)²+(y-k)²
r²=(x-0)²+(y-0)²
r²=x²+y²
3. Now, you must find the radius "r".
4. You know that the point is (5,2), so:
r²=x²+y²
5. Finally:
√29=x²+y²