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
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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)
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