Final answer:
To find the terminal point on the circle of radius 17.7 centered at the origin, use the concept of radians and the cosine and sine functions.
Step-by-step explanation:
To find the terminal point on the circle, we need to use the concept of radians. A radian is a unit of measurement used in mathematics to measure angles. Each radian is equal to the length of the radius of the circle.
In this case, the radius of the circle is 17.7 units. So, if we rotate 17.7 units along the circumference of the circle centered at the origin, we will reach the terminal point.
The terminal point in this case can be found by starting from the positive x-axis and rotating counter-clockwise. The x-coordinate of the terminal point will be the cosine of the angle (in radians) and the y-coordinate will be the sine of the angle (in radians).
Using the formula, the x-coordinate of the terminal point would be 17.7 * cos(rad) and the y-coordinate would be 17.7 * sin(rad). Round the answers to four decimal places.