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ABCD is a square of side 10 cm. Each side of the square is a tangent to the circle. Work out the total area of the shaded regions in terms of . Give your answer in its simplest form.

Here it's best to start this question off by drawing a diagram. Draw a square with each side having a length of 10cm and a circle which touches each side of the square only once (as eacn side of the square i...
BM
Answered by Benedicty M. • Maths tutor
17365 Views

What is Pythagoras' Theorem and how is it used in exam questions?

Pythagoras' Theorem is an equation used to give us more information about right angled triangles. The theorem itself looks like this: a 2 +b 2 =c 2 where c = the hypotenuse (the longest side of the triangle,...
TD
Answered by Tutor96690 D. • Maths tutor
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Solve the simultaneous equation 2x-4y=8 and 3x+3y=-15

Set 2x-4y=8 as equation 1, and 3x+3y=-15 as equation 2. Multiply equation 1 by 3 and equation 2 by 4 so they look like 6x-12y=24 and 12x+12y=-60. Now add the two equations and you get 18x=-36 or x=-2. Substi...
DL
Answered by Daniel L. • Maths tutor
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If Q = P / (R (4 – t)), calculate the value of Q when P = 36, R = 3 and t = –2

So seeing as you are given the values for P, R and t, the first thing you need to do is substitute the letters for their given numbers into the equation: Q = (36) / ((3) (4 - (-2)) Now expand out the bracket...
RB
Answered by Rosie B. • Maths tutor
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Write x/(x-1) - x/(x+1) as a single fraction in its simplest form (Edexcel GCSE 2016)

The key concept to answering this question is to notice that you need a common denominator for both fractions in order to subtract and simplify them. Clearly the two denominators: (x-1) and (x+1) are not the...
FK
Answered by Fritz K. • Maths tutor
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