Question

Find the radius, diameter, circumference and area for each of the following circles.

FORMULAS r = d/2 d =2*r C= π*d

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Answer 1

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• Radius = 6.5 feet

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• i) Diameter
• ii) Circumference
• iii) Area

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#i

Finding diameter⤵️

`\boxed{ \sf \: diameter = 2 * radius}`

`\tt \: d = 2 * 6.5`

`\tt \: d = 13 \: feet`

Finding circumference⤵️

`\boxed{ \sf \: circumference = 2\pi r}`

`\tt \: circumference = 2 * 3.14 * 6.5`

`\tt \: circumference = 13 * 3.14`

`\tt \: circumference = 40.82 \: feet`

Finding area⤵️

`\boxed{ \sf \: area = \pi r ^(2) }`

`\tt \: area = (22)/(7) * {6.5}^(2)`

`\tt \: area = (22)/(7) * ( (13)/(2) )^(2)`

`\tt \: area = \frac{ \cancel{22}}{7} * (169)/( \cancel4)`

`\tt \: area = (11)/(7) * (169)/(2)`

`\tt \: area = (1859)/(14) ≈132.78 \: {feet}^(2)`

Answer 2

Note that:

• Radius = 6.5 ft.
• Diameter = 2r
• Circumference = πd

Finding the diameter:

• 2r = 2(6.5) ft = 13 ft.

Finding the circumference (In decimal):

• πd = π x d ≈ 3.14 x 13 ≈ 40.82 ft

Finding the circumference (In fraction):

• πd = π x d = 22/7 x 13 = 286/7 ft