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Maths
GCSE
A circle with centre C has equation x^2 + y^2 + 2x - 6y - 40 = 0. Express as (x - a)^2 + (y - b)^2 = d.
First we must complete the square on both x and y. To complete a square we must take the number before the x and half it, for example nx we get n/2. We then write it as (x + n/2)2 - (n/2)
A cylindrical beaker has a height of 16 cm and a diameter at its bottom of 10 cm. What is its volume? Give your answer to 2 decimal places.
As the beaker is a cylinder, we know the formula of its volume is (pi x (radius)2) x height.
Since the radius = 1/2 diameter and the diameter = 10 cm, the radius = 5 cm.
