PRE CALCULUS Pre-Calculus Geometry 2

Question 1

What is the distance between the points (3, -4) and (-1, 2)?

Accepted Answer

√52

Answer

Distance = √((−1−3)² + (2−(−4))²) = √(16+36) = √52.

Question 2

Which equation represents a circle centered at (2, -3) with radius 5?

Accepted Answer

(x−2)² + (y+3)² = 25

Answer

The standard form is (x−h)² + (y−k)² = r², giving (x−2)² + (y+3)² = 25.

Question 3

A central angle of 120° in a circle of radius 6 subtends an arc of what length?

Accepted Answer

4π

Answer

Arc length = rθ = 6 × (2π/3) = 4π.

Question 4

What is the area of the sector with central angle 90° in a circle of radius 8?

Accepted Answer

16π

Answer

Area of sector = (θ/360°)πr² = (90/360)π(64) = 16π.

Question 5

The angle in standard position whose terminal side passes through (0, -5) measures:

Accepted Answer

270°

Answer

The point (0, -5) lies on the negative y-axis, which corresponds to 270° in standard position.

PRE CALCULUS Practice Test