Question

Jane needs to buy mulch to cover a circular garden

whose dimensions are shown in the figure. The cost of
the mulch is $32.52 per square yard. Find the amount
of mulch she will need to the nearest square yard and
find the cost of the mulch.

Answer 1

$3089.4

Explanation:

A circle is a locus of a point such that its distance from a point known as the center is always constant.

The area of a circle is given by the formula:

Area = πr²; where r is the radius of the circle.

From the image attached, we can see that the garden is circular with a radius of 5.5 yard. Hence:

Amount of mulch needed to cover garden = area of garden = πr² = π(5.5)² = 95 yd²

Since mulch cost $32.52 per square yard, hence:

Cost of mulch needed = $32.52 per yd² * 95 yd² = $3089.4