Question

the circumference of a given circular park is 55m. it is surrounded by a uniform path of 3.5m. Find the area of the path​

Answer 1

Answer:

• Area of the path = 231m ²

Given:

• circumference of a circular park is 55m
• uniform path = 3.5m

To find:

• Area of path

Solution:

Given that circumference of circular path and outer region so for this both we have to find the area of path.

• Let the radius of of the circular park be x

As we know that circumference formula:

● 2 πr = 55

● r = 55/2π

● r = 8.75 m

so,

• Area of park = π × (8.75)² = 240.625 m²

Given Radius of the outer circular region (uniform path ) = 3.5m

● r = 8.75 + 3.5m

● r = 12.25m

outer circular region is 12.25 m

• Area of that circular region is = A = π x (12.25)² = 471.625²

Now we have to find the area of the path

• Area of the path = 471.625 - 240.625 = 231 m²

Hence ,Area of the path is 231 m²

Answer 2

Answer:

Answer:

Area of the path = 231m ²

Given:

circumference of a circular park is 55m

uniform path = 3.5m

To find:

Area of path

Solution:

Given that circumference of circular path and outer region so for this both we have to find the area of path.

Let the radius of of the circular park be x

As we know that circumference formula:

● 2 πr = 55

● r = 55/2π

● r = 8.75 m

so,

Area of park = π × (8.75)² = 240.625 m²

Given Radius of the outer circular region (uniform path ) = 3.5m

● r = 8.75 + 3.5m

● r = 12.25m

outer circular region is 12.25 m

Area of that circular region is = A = π x (12.25)² = 471.625²

Now we have to find the area of the path

Area of the path = 471.625 - 240.625 = 231 m²

Hence ,Area of the path is 231 m²

Step-by-step explanation:

Hope this answer will help you✌