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What is the radius of a sector with 36 degree angle and a 1.1 radius rounded to nearest hundredth?
As the angle (35 degrees) and the radius (1.1) of the sector are given, you need to find the area of the sector. I think the problem is asking you to do that.
The area of a sector is equal to (1/2)(r^2)(θ), where r is the radius and θ is the angle in radians.
In order to use this formula we need to convert degrees to radians.
360 degrees = 2 pi radians
1 degree = (2 pi)/360 = pi/180 radians So,
36 degrees = 36(pi/180)= pi/5
Thus,
(1/2)(r^2)(θ) = (0.5)(1.1)^2(pi/5) ≈ 0.38
What else can I help you with?
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