Question

A circle is centered O (0,0) and has the radius 3.46410161514 where does poing M (-3,2) lie​

Answer 1

outside the circle

Explanation:

The equation of a circle centred at the origin is

x² + y² = r² ← r is the radius = 3.46410161514, hence

x² + y² = 3.46410161514²

x² + y² = 12 ← equation of circle

To determine where a point (x, y) lies

• If x² + y² < r² then point is inside the circle

• If x² + y² = r² then point lies on the circle

• If x² + y² > r² then point lies outside the circle

For (- 3, 2)

(- 3)² + 2² = 9 + 4 = 13 > 12

Hence point (- 3, 2) lies outside the circle

Answer 2

The circle area can be defined as x2 + y2 < 3.46^2.

For point M, x2 + y2 = 13.

Since 3.46^2 is about 12, point M is outside the circle!