On a circle with a radius of 3 , what is the length of the horizontal side at the angle $$ \pi ? $$ -1 0 3

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To find the length of the horizontal side at an angle of $$ \pi $$ radians on a circle with a radius of 3, we can use trigonometry.

In a circle, the horizontal side at an angle of $$ \pi $$ radians corresponds to the x-coordinate of a point on the circle. The x-coordinate of a point on a circle with radius $$ r $$ and angle $$ \theta $$ is given by the formula:

$$ x = r \cdot \cos(\theta) $$

Given that the radius $$ r = 3 $$ and the angle $$ \theta = \pi $$, we can substitute these values into the formula to find the length of the horizontal side.

$$ x = 3 \cdot \cos(\pi) $$

Now, we can calculate the value of $$ \cos(\pi) $$ and then find the length of the horizontal side.
Calculate the value by following steps:
- step0: Calculate:
  $$3\cos\left(\pi \right)$$
- step1: Calculate:
  $$3\left(-1\right)$$
- step2: Simplify:
  $$-3$$
The value of $$ \cos(\pi) $$ is -1.

Therefore, the length of the horizontal side at an angle of $$ \pi $$ radians on a circle with a radius of 3 is -3 units.
The length of the horizontal side at an angle of $$ \pi $$ radians on a circle with a radius of 3 is -3 units.

On a circle with a radius of 3 , what is the length of the horizontal side at the angle \( \pi ? \) -1 0 3

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