Distance formula

Front

What is the distance formula?

Back

The distance formula is used to determine the distance between two points in a coordinate plane. It is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

How do you find the distance between two points (x1, y1) and (x2, y2)?

Back

To find the distance, use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the distance between the points (3, 4) and (7, 1)?

Back

Using the distance formula: d = √((7 - 3)² + (1 - 4)²) = √(16 + 9) = √25 = 5.

Front

What is the diameter of a circle if the radius is 2 units?

Back

The diameter of a circle is twice the radius. Therefore, diameter = 2 * radius = 2 * 2 = 4 units.

Front

If the distance between points A(1, 2) and B(4, 6) is 5 units, what is the distance between A and B?

Back

The distance between A and B is 5 units.

Front

What is the significance of the distance formula in geometry?

Back

The distance formula helps in calculating the length of line segments, determining if points are equidistant, and solving problems related to geometry and coordinate systems.

Front

How do you calculate the distance between (-5, -8) and (-1, -16)?

Back

Using the distance formula: d = √((-1 - (-5))² + (-16 - (-8))²) = √(16 + 64) = √80 = 8.9.

Front

What is the distance between the points (-4, 5) and (7, 18)?

Back

Using the distance formula: d = √((7 - (-4))² + (18 - 5)²) = √(121 + 169) = √290 = 17.03.

Front

What does the term 'coordinate plane' refer to?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis).

Front

What is the relationship between the radius and diameter of a circle?

Back

The diameter of a circle is twice the length of the radius.