Question

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

Answer 1

Answer:

see explanation

Step-by-step explanation:

A = πr² ← r is the radius and r = $\frac{1}{2}$ d ← d is the diameter

Hence

π ($\frac{1}{2}$ d)² = A, that is

$\frac{d^2\pi }{4}$ = A ( multiply both sides by 4 )

d²π = 4A ( divide both sides by π )

d² = $\frac{4A}{\pi }$ ( take the square root of both sides )

d = $\sqrt{\frac{4A}{\pi } }$