The point (3,0) lies on a circle with the center at the origin. what is the area of the circle to the nearest hundredth?

we know that

the equation of a circle with the center at the origin is equal to

step 1

with the point (3,0) find the value of the radius

substitute the values of

in the equation of the circle above

so

step 2

with the radius find the area of the circle

area of the circle is equal to

for

units²

therefore

the answer is

the area of the circle to the nearest hundredth is units²

x = 12

y = 15

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)