(a) What angle in radians is subtended by an arc 1.50 m long on the circumference of a circle of radius 2.50 m? What is this angle in degrees? (b) An arc 14.0 cm long on the circumference of a circle subtends an angle of 128°. What is the radius of the circle? (c) The angle between two radii of a circle with radius 1.50 m is 0.700 rad. What length of arc is intercepted on the circumference of the circle by the two radii?
(a) What angle in radians is subtended by an arc 1.50 m long on the circumference of a circle of radius 2.50 m? What is this angle in degrees? (b) An arc 14.0 cm long on the circumference of a circle subtends an angle of 128°. What is the radius of the circle? (c) The angle between two radii of a circle with radius 1.50 m is 0.700 rad. What length of arc is intercepted on the circumference of the circle by the two radii?
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
Section5.1: Angle Measure
Problem 1E: a The radian measure of an angle is the length of the __________ that subtends the angle in a...
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Write a detailed solution. Identify the given quantities and unknowns. Label them properly.
Transcribed Image Text:1. (a) What angle in radians is subtended by an arc 1.50 m long on the circumference of a circle of
radius 2.50 m? What is this angle in degrees? (b) An arc 14.0 cm long on the circumference of a
circle subtends an angle of 128°. What is the radius of the circle? (c) The angle between two radii
of a circle with radius 1.50 m is 0.700 rad. What length of arc is intercepted on the circumference
of the circle by the two radii?
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