Question

On a circle of radius 5 feet, give the degree measure of the angle that would subtend an arc of length 1 feet. Round your answer to the nearest hundredth, or two decimal places.

Answer 1

11.46°

Explanation:

Let x be the angle that yields an arc length of 1 feet, if r= 5 feet, applying the circumference length equation and assuming that a full circumference has 360 degrees:

`1=(x)/(360)*2\pi r \\1=(x)/(360)*2\pi 5\\x=(360)/(2 \pi 5)=11.46^o`

Rounding to the nearest hundredth, the angle should be 11.46°