Question

A new park was designed to contain two circular gardens. Garden A has a diameter of 50 m, and garden B has a diameter of 70 m. The gardener wishes to put down weed block fabric on the two gardens before the plants are planted in the ground. How much fabric will be needed to cover the area of both gardens?

Answer 1

`5,811.95\ m^2` of fabric.

Explanation:

-The amount of fabric needed is equivalent to the area of the two gardens.

-We calculate the combined areas as:

`A=A_s+A_b\\\\=\pi r^2+\pi R^2\\\\=\pi(25^2+35^2)\\\\=1850\pi \ m^2\\\\=5811.95\ m^2`

Hence, 5811.95 sq meters of fabric will be needed to cover the area of both gardens.