Geometry Formulas 4

Question 1

What is the distance between the points (1, 2) and (4, 6)?

Accepted Answer

5

Answer

Distance = √((4−1)² + (6−2)²) = √(9 + 16) = 5.

Question 2

What is the midpoint of the segment from (2, 4) to (8, 10)?

Accepted Answer

(5, 7)

Answer

Midpoint = ((2+8)/2, (4+10)/2) = (5, 7).

Question 3

What is the measure of each interior angle of a regular hexagon?

Accepted Answer

120

Answer

Each angle = (6−2)180/6 = 720/6 = 120.

Question 4

What is the area of a sector with a central angle of 90° in a circle of radius 4? (use π ≈ 3.14)

Accepted Answer

12.56

Answer

A 90° sector is ¼ of the circle: ¼(3.14)(16) = 12.56.

Question 5

What is the surface area of a cube with edge length 3?

Accepted Answer

54

Answer

Surface area = 6s² = 6(9) = 54.

Geometry Practice Test