Consider the following when d = 14 ft. Give both exact values and approximations to the nearest hundredth.(a) Find the circumference of the figure.ftftx(b) Find the area of the figure.ft?x7A²teh

Consider the following when d 14 ft Give both exact values and approximations to the nearest hundredtha Find the circumference of the figureftftxb Find the area class=

Respuesta :

(a)Recall that the circumference of a circle is given by the following formula:

[tex]C=\pi d.[/tex]

Where d is the diameter of the circle.

Substituting d=14 ft in the above formula, we get:

[tex]C=\pi(14ft)\approx43.98ft\text{.}[/tex]

(b) Recall that the area of a circle is given by the following formula:

[tex]A=\frac{\pi d^2}{4}.[/tex]

Substituting d=14 ft in the above formula, we get:

[tex]A=\frac{\pi(14ft)^2}{4}=49\pi ft^2\approx153.94ft^2.[/tex]

Answer:

(a)

Exact solution:

[tex]14\pi ft.^{}[/tex]

Approximation:

[tex]43.98\text{ ft.}[/tex]

(b) Exact solution:

[tex]49\pi ft^2\text{.}[/tex]

Approximation:

[tex]153.94ft^2.[/tex]