Question

Find the radius of the circle whose equation is 3x² + 3y² = 75.

A.) 5
B.) 5√3
C.) 5,625

Answer 1

A) 5

Explanation:

The equation of a circle:

`(x-h)^2+(y-k)^2=r^2`

(h, k) - center

r - radius

We have the equation:

`3x^2+3y^2=75` divide both sides by 3

`x^2+y^2=25\to r^2=25\to r=√(25)\to r=5`