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 2πI, II, III, and IVI onlyII onlyIII & IV onlyno correct answer Which among the following staternents is/are TRUE about a unit circle?1. If a central angle e in a circle with radius rintercepts an arc on the circle of length s, then the arc length is given by s-re where 0 is inradians.IL. The area of a sector a circle with radius r and central angle 0 is given by A- (1/2) ^20 where e is in radians.III. The equation for the unit circle centered at the origin is given by x^2+y"2-1.IV. The unit circle is divided into eight equal arcs, corresponding to t-values of 0,r/4,r/2,3n/4,n,5n/4,3n/4,7n/4.and 2n.ULUIVIII & IV

Here we have to determine which statement is true. I) If a central angle θ in a circle with radius r…

Answered: hich among the following statements…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Trigonometric Functions: Right Triangle Approach

Section5.CR: Chapter Review

Problem 3CC

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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