Question

find the angle 0 which determines the given length.Express results in degrees, accurate to two decimal places. r=10 ft,s=30 ft
How would I solve this.

Answer 1

O is the measure of a central angle subtended by arc s=30 ft on a circle with radius r=10ft. First find the measure of angle O in radians by using the formula
s=(r)(O) :
30 = 10 * O Divide both sides by 10
O = 3 radians

Convert 3 radians to degrees:

O = 3 * (180/pi) Pi = 3.14 approx
O = 3 * (180/3.14)
O = 171.97 degrees