Distance and Area Calculations

What is the distance formula used to calculate the distance between two points?

• Square root of (x2 * x1)^2 + (y2 * y1)^2

• Square root of (x2 + x1)^2 + (y2 + y1)^2

• Square root of (x2 - x1)^2 + (y2 - y1)^2

• Square root of (x2 - x1) + (y2 - y1)

If point A has coordinates (1, 2) and point B has coordinates (9, 17), what is the distance between them?

• 15 units

• 16 units

• 17 units

• 18 units

In the distance formula, what do x1 and y1 represent?

• The coordinates of the first point

• The difference between the coordinates

• The sum of the coordinates

• The coordinates of the second point

What is the distance between points C (5, -16) and D (-2, 8)?

• 25 units

• 24 units

• 23 units

• 26 units

In the example of points C and D, what is the value of (y2 - y1)?

• -24

• -8

• 24

• 8

What is the formula for the area of a circle?

• πr

• πd

• πr^2

• 2πr

If the center of a circle is at (2, 1) and a point on the circle is at (6, 4), what is the radius of the circle?

• 6 units

• 4 units

• 5 units

• 3 units

In the circle example, what is the value of (x2 - x1)?

• 5

• 2

• 4

• 3

What is the area of a circle with a radius of 5 units?

• 20π square units

• 25π square units

• 30π square units

• 35π square units

What is the first step in calculating the area of a circle given its center and a point on the circle?

• Find the diameter

• Find the radius using the distance formula

• Find the circumference

• Find the area directly