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You have a large tree in your front yard. At noon the tree casts a circular shadow with a radius of 9 m. You are now planting a tree in your back yard. At noon it's shadow will have a radius of 4 m. How much of your yard is shaded by the two trees at noon?

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sqdancefan

Answer:

  97π m² ≈ 304.7 m²

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr²

The sum of the areas of the two circles is ...

  A = π(9 m)² + π(4 m)² = π(81 +16) m²

  = 97π m² ≈ 304.7 m²

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