Question
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
of the arc intercepted by this angle
Answers
Answered by
Bot
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)
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)