coordinate geometry: circles - If the radius is 13 , and the central angle is \frac{π}{5} find the arc length.

Krishna (last edited 4 years ago) (Expert, Educator @Qalaxia)

Step 1: Note down the given values

Step 2: Set up the formula for arc length.

NOTE: The formula is arc length= 2 \pi (r)(\frac{\theta }{360}) ,

where {\displaystyle r} equals the radius of the circle and {\displaystyle \theta } equals the measurement of the arc’s central angle, in degrees.

Arc length = r * \theta

Step 3: Plug the length of the circle’s radius into the formula.

Step 4: Plug the value of the arc’s central angle into the formula.

Step 5: Simplify the equation to find the arc length

NOTE: Use multiplication and division to simplify the equation.