A circular pond 24 yd in

diameter is surrounded by

a gravel path 2 yd wide.

The path is to be replaced

by a brick walk costing

$50 per square yard. How

much will the walk cost?

The walk will cost $8164.

Step-by-step explanation:

Given:

Diameter of the circular pond (D) = 24 yd

Width of the gravel path (x) = 2 yd

Cost per yard of the path = $50

Now, radius of the circular pond is half of the diameter and is given as:

Now, area of the pond is given as:

Area of the complete path including the pond area is given as:

Now, area of the gravel path can be obtained by subtracting the pond area from the total outer area. This gives,

Now, using unitary method,

Cost of 1 square yard of path = $50

∴ Cost of 163.28 square yard of path = 50 × 163.28 = $8164

Hence, the walk will cost $8164.

It will cost $8126 to build the brick wall.

Step-by-step explanation:

Given:

Diameter of circular pond = 24 yd

radius of circular pond =

radius of circular path

Cost to build a brick wall =

We need to find the cost to build the brick on circular path.

Solution:

First we will find the area of circular path.

Now we know that;

area of circular path is equal to Area of Complete path minus area of circular pond.

framing in equation form we get;

area of circular path =

Now given:

Cost to build a brick wall =

Area of wall =

Total cost to build wall = Cost to build a brick wall × Area of wall

Total cost to build wall =

Hence It will cost $8126 to build the brick wall.

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