Question

How is the radius of a circle typically found using a graph calculator?

a) By identifying the x-intercept
b) By determining the y-intercept
c) By locating the center coordinates
d) By calculating the slope of the line

Answer 1

To find the radius of a circle using a graph calculator, you typically need to locate the center coordinates of the circle and use the distance formula or the Pythagorean theorem to calculate the radius.

Step-by-step explanation:

To find the radius of a circle using a graph calculator, you typically need to locate the center coordinates of the circle. This is option c) in the given question. The center coordinates represent the x and y values at the center of the circle. The radius of the circle is the distance from the center to any point on the circumference of the circle.

You can then use the distance formula or the Pythagorean theorem to calculate the radius using the center coordinates and the coordinates of a point on the circumference of the circle.

For example, if the center coordinates are (3, 4) and a point on the circumference is (6, 8), you can use the distance formula: radius = sqrt((6 - 3)^2 + (8 - 4)^2) = sqrt(9 + 16) = sqrt(25) = 5 units.