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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-example-1
User Rdanusha
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1 Answer

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


C=\pi d.

Where d is the diameter of the circle.

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


C=\pi(14ft)\approx43.98ft\text{.}

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


A=(\pi d^2)/(4).

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


A=(\pi(14ft)^2)/(4)=49\pi ft^2\approx153.94ft^2.

Answer:

(a)

Exact solution:


14\pi ft.^{}

Approximation:


43.98\text{ ft.}

(b) Exact solution:


49\pi ft^2\text{.}

Approximation:


153.94ft^2.

User MicNeo
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