contestada

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.

Respuesta :

Answer:

see explanation

Step-by-step explanation:

A = πr² ← r is the radius and r = [tex]\frac{1}{2}[/tex] d ← d is the diameter

Hence

π ([tex]\frac{1}{2}[/tex] d)² = A, that is

[tex]\frac{d^2\pi }{4}[/tex] = A ( multiply both sides by 4 )

d²π = 4A ( divide both sides by π )

d² = [tex]\frac{4A}{\pi }[/tex] ( take the square root of both sides )

d = [tex]\sqrt{\frac{4A}{\pi } }[/tex]

Otras preguntas