Question

i) Find the area of a circular pond that has a diameter of 12m.
ii)The pond is surrounded by a path of width 2m. If the costs $55 per square meter to pave the path with tiles, find the cost incurred.

Give step by step explanation please.​

Answer 1

Step-by-step explanation:

explanation in the above photo

Answer 2

Answer:

Total cost of incurred = $4840

Step-by-step explanation:

Given,

• The diameter of Circular pond is 12m.
• The pond is surrounded by a path of width 2m.
• The cost of pave the path with tiles is $55 per square metre.

To Find,

• The cost of incurred.

Solution,

Diameter of Circular pond = 12m

Radius of Circular pond = D/2

→ Radius of Circular pond = 12m/2

→ Radius of Circular pond = 6m

Area of Circular pond = π × r²

→ Area of Circular pond = 22/7 × (6m)²

→ Area of Circular pond = 22/7 × 36m²

→ Area of Circular pond = 113.14m²

Radius of outer circle = 6m + 2m

→ Radius of outer circle = 8m

Area of Outer circle = π × r²

→ Area of Outer circle = 22/7 × (8m)²

→ Area of Outer circle = 22/7 × 64m²

→ Area of Outer circle = 201.14m²

Area of Path = Area of Outer circle - Area of Circular pond

→ Area of Path = 201.14m² - 113.14m²

→ Area of Path = 88 square metre

Cost of incurred = $55 per square metre

Total cost of incurred = 88 square metre × $55 per square metre

→ Total cost of incurred = 88 × $55

→ Total cost of incurred = $4840

Required Answer,

• Total cost of incurred = $4840