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:

Below is an attachment containing the solution.

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%