A central angle θ in a circle of radius 3 m is subtended by an arc of length 4 m. Find the measure of θ in degrees. (Round your answer to one decimal place.) θ = ° Find the measure of θ in radians. (Round your answer to two decimal places.) θ = rad

θ = 76.4°

θ = 1.33 radians

Step-by-step explanation:

Length of an arc is given as

L = (θ/360) × 2πr

L = 4 m

θ = angle subtended at the centre of the circle by the arc in degrees = ?

r = radius of the circle = 3 m

4 = (θ/360) × 2π(3)

θ = (4×360)/6π

θ = 76.4°

L = θ r

where θ = angle subtended at the centre of the circle by the arc in radians

4 = θ × 3

θ = (4/3) = 1.33 radians

OR we could do a direct conversion

360° = 2π radians

76.4° = (76.4 × 2π)/360

θ = (4/3) radians = 1.33 radians

Hope this Helps!!!

Step-by-step explanation:

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step-by-step explanation:

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above