Distance and Area Calculations

The video tutorial explains how to use the distance formula to calculate the distance between two points. It provides two examples with different coordinates to demonstrate the process. Additionally, the tutorial covers how to calculate the area of a circle by first finding the radius using the distance formula. The video emphasizes understanding the formula and applying it to solve geometric problems.

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