Demonstration of the Formula S r th The interative demonstration below illustrates the relationship between the central angle of a circle measured in radians and the length of the intercepted arc. Plugging our radius of 3 into the formula we get C 6p meters or approximately 188495559 m. You can also measure the circumference or distance around a circle.
Now we multiply that by or its decimal equivalent 02 to find our arc length which is 3769911 meters.
For example a central angle that measures 3 radians is associated with an arc whose length is 3 times the radius of the circle. Arc length radius central angle radians arc length circumference central angle degrees 360 where circumference 2 p radius Knowing two of these three variables you can calculate the third. Even easier this calculator can solve it for you. Find the radius of a circle with a sector having an arc length of 105p and an angle of 175 degrees.