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PLEASE HELP ASAP!!!!!!!!!

The diameter of a circle is 7 cm, What is it's area/circumference????!


HELP!!!!

User CaldasGSM
by
3.2k points

2 Answers

4 votes

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◈ The diameter of a circle is 7 cm. What is its area? How about its circumference?


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We're asked to find the circle's circumference, which can be found using the formula below:-


\textsf{Formula for Circumference of a Circle:- \boxed{\bold{C=\pi d}}}

Where:-


  • \bold{C=Circumference}

  • \pi = pi [3.14]

  • \bold{d=diameter}

As per provided information (d=7cm), we can easily find the circumference by substituting 7 for d:-


\sf{C=\pi (7)}

On simplification,


\sf{C=7*3.14}

Remember, 3.14 is pi.

On further simplification,

↬ C=21.98 cm.

So we conclude that the circumference of the given circle is:-

C=21.98 cm.

Now, how about the area?


\textsf{Formula for Area of a Circle:-\boxed{\bold{A=\pi r^2}}}

Where:-

  • A=area
  • r=radius (it's squared, which means it's multiplied times itself)

Notice that we only have the diameter and not the radius.

We can easily find the radius by dividing the diameter by 2:-

3.5

So the radius is 3.5.

Substitute the value of r into the formula, which results in:-


\sf{A=\pi (3.5)^2}

On simplification,

  • A=12.25π

On further simplification,

A=12.25•3.14 (3.14 is pi)

On further simplification,

A=38.465 cm²

Good luck.

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User TheQ
by
3.5k points
12 votes

Answer:

Below in bold.

Explanation:

Circumference = π * diameter

= π * 7

= 20.99 cm to nearest hundredth.

Radius of the circle = 1/2 * diameter = 7/2

= 3.5cm.

Area = π r^2

= π * 3.5^2

= 38.48 cm^2 to nearest hundredth.

User Cutalion
by
3.5k points