contestada

If the area of a circle is 58 square feet, find the circumference. A. 26.99 ft. B. 22.35 ft. C. 42.5 ft. D. 4.25 ft.

Respuesta :

The area of a circle is found by the formula:

[tex]\displaystyle{ A=\pi R^2[/tex], where r is the radius of the circle, and the circumference is found by the formula [tex]C=2 \pi R[/tex].


So, we set the equation [tex]\displaystyle{ 58=\pi R^2[/tex]. Rearranging, we have:

[tex]\displaystyle{ R^2= \frac{58}{\pi} \approx 58/3.14=18.47[/tex], so [tex]\displaystyle{ R= \sqrt{18.47} \approx 4.3[/tex] (ft).


By the circumference formula, [tex]C=2 \pi R \approx 2\cdot3.14\cdot4.3=27[/tex] (ft0.


Answer: A.26.99 ft  (There is only a small difference due to calculations with approximate values)
your answers is A . 26.99 FT