hich among the following statements is/are TRUE about a unit circle? I. If a central angle θ in a circle with radius r intercepts an arc on the circle of length s, then the arc length is given by s=rθ where θ is in radians. II. The area of a sector a circle with radius r and central angle θ is given by A - (1/2) r² θ where θ is in radians. III. The equation for the unit circle centered at the origin is given by x² + y² = 1. IV. The unit circle is divided into eight equal areas, corresponding to t-values of 0, π/4, π/2, 3π/4, π, 5π/4, 3π/4, 7π/4, and 2π I, II, III, and IV I only II only III & IV only no correct answer
hich among the following statements is/are TRUE about a unit circle? I. If a central angle θ in a circle with radius r intercepts an arc on the circle of length s, then the arc length is given by s=rθ where θ is in radians. II. The area of a sector a circle with radius r and central angle θ is given by A - (1/2) r² θ where θ is in radians. III. The equation for the unit circle centered at the origin is given by x² + y² = 1. IV. The unit circle is divided into eight equal areas, corresponding to t-values of 0, π/4, π/2, 3π/4, π, 5π/4, 3π/4, 7π/4, and 2π I, II, III, and IV I only II only III & IV only no correct answer
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 33E
Related questions
Question
Which among the following statements is/are TRUE about a unit circle ?
I. If a central angle θ in a circle with radius r intercepts an arc on the circle of length s, then the arc length is given by s=rθ where θ is in radians.
II. The area of a sector a circle with radius r and central angle θ is given by A - (1/2) r² θ where θ is in radians.
III. The equation for the unit circle centered at the origin is given by x² + y² = 1.
IV. The unit circle is divided into eight equal areas, corresponding to t-values of 0, π/4, π/2, 3π/4, π, 5π/4, 3π/4, 7π/4, and 2π
I, II, III, and IV
I only
II only
III & IV only
no correct answer
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