Question

Identify the center and radius of each. Then sketch the graph.

x^2 + y^2 =45

Answer 1

centre: (0, 0)

radius: 3√5 ≈ 6.71

Explanation:

The equation of a circle is denoted by:

`(x-x_1)^2 +(y-y_1)^2=r^2`, where
`(x_1,y_1)` is the centre and r is the radius

Here, we see that x1 and y1 are each 0, which means the centre is (0, 0).

We also see that r² = 45, which means the radius is r = √45 = 3√5 ≈ 6.71.

Therefore, we want to draw a circle with radius 6.71 and centre at (0, 0). See attached.

~ an aesthetics lover