Question 3

Rearrange the following formulae to make the letter shown in the square brackets the subject.

(a) \( A = \pi r^2\) \( [r]\) (b) \( E = mc^2\) \( [c]\) (c) \( V = \frac{1}{3}\pi r^2h\) \( [r]\)
(d) \( v^2 = u^2 + 2as\) \( [u]\) (e) \( h^2 = a^2 + b^2\) \( [b]\) (f) \( T = 2\pi \sqrt{\frac{L}{g}}\) \( [L]\)
(g) \( E = \frac{1}{2}mv^2\) \( [v]\) (h) \( s = ut + \frac{1}{2}at^2\) \( [a]\) (i) \( T = 2\pi \sqrt{\frac{L}{g}}\) \( [g]\)
(j) \( V = \frac{4}{3}\pi r^3\) \( [r]\) (k) \( x^2 + y^2 = r^2\) \( [x]\) (l) \( y = 5\sqrt{2 - x^2}\) \( [x]\)