Question

HELP PLEASEEE

What are the exact and approximate circumference of a circle whose diameter is 2 1 over 3 km ?

Use 3.14 for π when finding the approximate circumference. Round your answer to the nearest hundreth

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Answer 1

Exact circumference is
`7(49)/(150)km`

Approximate circumference is
`7.33 km`

Explanation:

We are given;

• The diameter of a circle as
  `2(1)/(3) km`

We are required to determine the exact and approximate circumference of the circle.

• We know that the circumference of the circle is given by;
• Circumference = πD, where D is the diameter

Taking π as 3.14

`Circumference=3.14 (2(1)/(3)km)`

`=7(49)/(150)km`

The exact circumference of the circle is
`7(49)/(150)km`

`7(49)/(150)km=7.327 km\\ = 7.33 km (nearest hundredth)`

Thus, the approximate circumference of the circle is
`7.33 km`