A central angle in a circle with a diameter of 9 meters measures radians. 7/18 Find the length

of the arc intercepted by this angle

1 answer

We can use the formula for the length of an arc of a circle:

length of arc = radius x angle measure

Since the diameter of the circle is 9 meters, the radius is half of that, or 4.5 meters. The angle measure is given as 7/18 radians. Therefore, the length of the arc intercepted by this angle is:

length of arc = 4.5 x (7/18) = 1.75 meters (rounded to two decimal places)