# A circle's center is at #(3 ,1 )# and it passes through #(5 ,6 )#. What is the length of an arc covering #(7pi ) /12 # radians on the circle?

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- Points #(2 ,4 )# and #(4 ,9 )# are #(3 pi)/4 # radians apart on a circle. What is the shortest arc length between the points?
- Points #(6 ,7 )# and #(7 ,5 )# are #(2 pi)/3 # radians apart on a circle. What is the shortest arc length between the points?
- Find the distance of the centre of the circle x^2+y^2+z^2+x-2y+2z=3,2x+y+2z=1 from the plane ax+by+cz=d, where a,b,c,d are constants.?
- A circle has a chord that goes from #( pi)/2 # to #(15 pi) / 8 # radians on the circle. If the area of the circle is #42 pi #, what is the length of the chord?
- What is the equation of the circle with a center at #(-1 ,-1 )# and a radius of #2 #?

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