Question

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?

Answer 1

97π m² ≈ 304.7 m²

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