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

Answer:

11.46°

Step-by-step 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:

$1=\frac{x}{360}*2\pi r \\1=\frac{x}{360}*2\pi 5\\x=\frac{360}{2 \pi 5}=11.46^o$

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