Question

Find the area. Use 3.14 for pi and round your answer

Answer 1

329.9 ft^2

Explanation:

area = π · r^2

diameter = 2r so radius = 10.25

area = 3.14 · 10.25^2

10.25^2 = 105.06

3.14 · 105.06 = 329.9 ft^2

Answer 2

Given :-

• diameter = 20.5 ft
• π = 3.14

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To find :-

• Area

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Solution:

To find area first we should know value of radius.

Diameter is given , and from diameter we can find value of radius.

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We know :-

`\bf \ddag\boxed{\rm Diameter =2 \: radius } \bf \ddag`

By using this formula we can find radius.

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`\hookrightarrow\sf Diameter =2 \: radius`

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`\hookrightarrow\sf 20.5 =2 \: radius`

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`\hookrightarrow\sf (205)/(10) =2 \: radius`

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`\hookrightarrow\sf \cancel(205)/(10) =2 \: radius`

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`\hookrightarrow\sf (41)/(2) =2 \: radius`

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`\hookrightarrow\sf2 \: radius = (41)/(2)`

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`\hookrightarrow\sf \: radius = (41)/(2 * 2)`

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`\hookrightarrow\sf \: radius = (41)/(4)`

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`\hookrightarrow\bf \: radius = 10.25`

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Now let's find Area

we know :-

`\bf \ddag\boxed{\rm Area = \pi radius {}^(2) } \bf \ddag`

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So:-

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`\dashrightarrow \sf Area = \pi radius {}^(2)`

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`\dashrightarrow \sf Area = \pi (10.5) {}^(2)`

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`\dashrightarrow \sf Area = \pi * 10.5 * 10.5 \\`

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`\dashrightarrow \sf Area = \pi * 110.25 \\`

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`\dashrightarrow \sf Area = 3.14 * 110.25 \\`

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`\dashrightarrow \bf Area =346.19~ {ft}^(2) \{approx\}\\`