Question

The area (A) of a circle with a radius of r is given by the formula A=pier^2 and its diameter (d) is given by d=2r. Arrange the equations in the correct sequence to rewrite the formula for diameter in terms of the area of the circle.

Answer 1

`A= \pi r^2 \ \ \text{and} \ \ d=2r \ \ \to r= (d)/(2) \\ \\ A= \pi *( (d)/(2) )^2 \\ \\A= ( \pi d^2)/(4) \\ \\ 4A= \pi d^2 \\ \\ d^2= (4A)/( \pi ) \\ \\ d= \sqrt{ (4A)/( \pi ) }`