Answer: (a) What angle in radians is subtended by an arc

Chapter 9, Problem 1E

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QUESTION:

(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 \(128^{\circ}\). 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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QUESTION:

(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 \(128^{\circ}\). 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?

ANSWER:

Step 1 of 4

a)

Data given

Arc length

Radius

The angle is given by using

Thus we have

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