find the circumference of a 14 cm circle
a. Give an exact answer in terms of .pi

b. Use ≈ 22/7 and express your answer as a fraction in lowest terms.

c. Use pi button on your calculator, and express your answer to the nearest hundredth.

Respuesta :

Answer:

Circumference of the given circle:

C=88 cm

a) Exact answer in terms of [tex]\pi[/tex]

[tex]C=28\pi cm[/tex]

b) By using [tex]\pi=\frac{22}{7}[/tex]

[tex]C=\frac{616}{7}cm[/tex]

C) [tex]C=28\times \pi[/tex]

[tex]C=88cm[/tex]

Step-by-step explanation:

Given that the radius of a circle is 14cm

That is r=14cm

To find the circumference of the given circle:

[tex]C=2\pi r[/tex]

[tex]=2\times\left(\frac{22}{7})\right\times (14)[/tex]

[tex]=4(22)[/tex] (where [tex]\pi =\frac{22}{7}[/tex] )

Therefore C=88cm

a, Exact answer in terms of [tex]\pi[/tex]

[tex]C=2\pi (14)[/tex]

[tex]C=28\pi cm[/tex]

b, By using [tex]\pi=\frac{22}{7}[/tex]

[tex]C=28\times \frac{22}{7}[/tex]

[tex]C=\frac{616}{7}cm[/tex]

C, [tex]C=28\times \pi[/tex]

[tex]=28\times 3.14[/tex]

[tex]=87.92[/tex]

[tex]C=88cm[/tex]

The circumference of a circle with 14 cm radius can be found from its formula.

The circumference of given circle by all 3 ways are given by:

a. [tex]28\pi \: \rm cm[/tex]

b. [tex]88 \: \rm cm[/tex]

c.  [tex]87.96 \: \rm cm[/tex]

Given that:

Radius of circle = 14 cm

To find:

circumference of circle

Formula for circumference of circle with radius r units:

[tex]\text{Circumference} = 2 \pi r \: \rm units[/tex]

a. Expressing circumference in terms of pi:

[tex]\text{Circumference} = 2 \times 14 \tiems \pi = 28 \pi \: \rm cm[/tex]

b. Using [tex]\pi \approx \dfrac{22}{7}[/tex] to find circumference:

[tex]\text{Circumference} \approx 2 \times \dfrac{22}{7} \times 14 = 88 \: \rm cm[/tex]

c. Using the pi value from calculator to find circumference:

[tex]\text{Circumference} = 2 \times 14 \times 3.14159.. \approx 87.96[/tex]

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