A circle centered at (0, 0) includes the point A(0,

kuhse4461a 2021-12-16 Answered
A circle centered at (0, 0) includes the point A(0, 8). Point B lies on the circle such that the center angle with endpoints A and B measures 1 radian. What is the length of AB?
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Expert Answer

Jonathan Burroughs
Answered 2021-12-17 Author has 37 answers
There are 2 possible ways of finding length of AB
radius of circle (t)=8
AB= circumference× fraction of circle
2πr×12π=r=8
definition of 1 radian
an angle subtendet at the centre of 1 radian occurs when the arc length is equal to the radius
thus when AB=r=8
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Charles Benedict
Answered 2021-12-18 Author has 32 answers
Let the centre and radius be C(0,0) and r, resp
A(0,8) lies on the circle so r=CA=8
It is known from Geometry that if an circle AB of circle subtends an of radian measure θ at the centre, then length of arc AB=rθ
In our case r=8 and θ=1 radian
The length of arc AB=8
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