Question

What is the circumference of the circle?

Answer 1

- - - - - - - - - - - - - - - - - - - - - - - - - - -

`\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}}\diamond`

What is the circumference of the circle? (Its radius is 5 ft)

`\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond`

The distance from the tetherball pole to the edge of the circle is the radius of the circle; we're given that it's 5 feet (ft).

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

❖
`\sf{C=2\pi r}`

Where:-

• C=circumference

• π=pi (3.14...)

• r=radius

Substitute 5 for r:-

`\sf{C=2\pi (5)}`

On simplification,

`\sf{C=10\pi}`

On further simplification,

`\sf{C=31.4\:feet}`

So we conclude that the right option is:-

`\checkmark\dashrightarrow\bigstar\boxed{\boxed{\bold{Option\:E}}}\bigstar\dashleftarrow\checkmark`

Good luck.

-- - - - - - - - - - - - - - - - - - - - - - -- - - - - - - -

Answer 2

`\huge\boxed{\bf\:E) \: \: 31.4 \: \:feet}`

Explanation:

Since the tetherball is in the centre of the circle, any distance from it to the edge of the circle will be its radius. So, radius (r) = 5 ft.

Now, the formula for the cirumference of a circle = 2πr

Circumference of the circle

= 2πr

= 2 × 3.14 × 5 [π = 3.14]

= 31.4 feet (option E)

`\rule{150pt}{2pt}`