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The circumference of a circlar lawn is 32.56m work out the area of the lawn

User Yaa
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1 Answer

3 votes

Answer:

84.4 m²

Explanation:

You want the area of a circular lawn with a circumference of 32.56 m.

Area

The area of the lawn can be found using the formula ...

A = πr²

The relation between circumference and radius is ...

C = 2πr

so the radius is ...

r = C/(2π)

Using this in the area formula, we have ...

A = π(C/(2π))² = C²/(4π)

Application

For the given circumference, the area is ...

A = (32.56 m)²/(4π) ≈ 84.4 m²

The area of the lawn is about 84.4 square meters.

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The circumference of a circlar lawn is 32.56m work out the area of the lawn-example-1
User Maliek
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