Distance and Area in Geometry

What is the formula used to calculate the distance between two points (x1, y1) and (x2, y2)?

• d = (x2 - x1)² + (y2 - y1)²

• d = √((x2 - x1) + (y2 - y1))

• d = √((x2 - x1)² + (y2 - y1)²)

• d = (x2 + x1)² + (y2 + y1)²

For point A(1, 2), what are the values of x1 and y1?

• x1 = 2, y1 = 1

• x1 = 1, y1 = 2

• x1 = 1, y1 = 1

• x1 = 2, y1 = 2

When calculating the distance between A(1, 2) and B(9, 17), what is the result of (x2 - x1)²?

• 64

• 8

• 16

• 4

When calculating the distance between A(1, 2) and B(9, 17), what is the result of (y2 - y1)²?

• 15

• 225

• 17

• 2

What is the distance between points A(1, 2) and B(9, 17)?

• 17

• 289

• 15

• 8

For points C(5, -16) and D(-2, 8), if C is (x1, y1) and D is (x2, y2), what is x2 - x1?

• 7

• -7

• 3

• -3

For points C(5, -16) and D(-2, 8), if C is (x1, y1) and D is (x2, y2), what is y2 - y1?

• -24

• 8

• 24

• -8

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

• 25

• 625

• 49

• 576

A circle has its center at C(2,1) and a point P(6,4) on its circumference. What is the radius of the circle?

• 3

• 4

• 5

• 25

A circle has its center at C(2,1) and a point P(6,4) on its circumference. What is the area of the circle?

• 5π

• 10π

• 25π

• 50π