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No Links!! A vinyl record has a circumference of 78.5 cm. What is its area? Use 3.14 for pi and round to the nearest square cm. please dont just give me 3.14 This is 40% of my grade and i'd really appreciate if someone could help me.

Sagot :

Nayefx

Answer:

[tex] \displaystyle A _{ \text{vinyl record }} \approx 490 {cm}^{2} [/tex]

Step-by-step explanation:

we are given the circumstances of a vinyl record

we want to figure out the area

in order to do so we should figure out redious first

recall that,

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

given that, C=78.5

thus substitute:

[tex] \displaystyle \rm 78.5= 2\pi r[/tex]

divide both sides by 2π:

[tex] \displaystyle r = \frac{78.5}{2\pi} [/tex]

we have figured out r now we'll figure out the area

remember that,

[tex] \displaystyle A _{ \text{circle}} = \pi {r}^{2} [/tex]

substitute the value of r

[tex] \displaystyle A _{ \text{vinyl record }} = \pi { \bigg(\frac{78 .5}{2\pi} \bigg)}^{2} [/tex]

by using calculator we acquire

[tex] \displaystyle A _{ \text{vinyl record }} = 490 {cm}^{2} [/tex]

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