Acentral angle θ in a circle of radius 4 m is subtended by an arc of length 5 m. find the measure of θ in degrees. (round your answer to one decimal place.)

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

we have

substitute the values

step 2

Remember that

360 degrees subtends the arc of length   (circumference)

so

by proportion

Find the measure of θ by an arc of length 5 m

assume

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: