Question

A circular flower bed is surrounded by a path 5 m wide. The diameter of the flower bed is 65 m. What is the area of this path? (useπ= 3.14)
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Answer 1

Answer:

Step-by-step explanation:

Given,

Width of path = 5 m

Diameter of the bed = 65 m

Radius of the bed = 65/2 = 32.5 m

To Find,

Area of the path

Formula or method to be used,

Area of path = Outer path - Inner path

Area of path = πR²  - πr²

Solution,

Here we will find the outer path at first,

Outer radius = 32.5 + 5 = 37.5 m

Now, putting the values, we get

Area of path = πR²  - πr²

⇒ Area of path = 22/7 × 37.5² - 22/7 × 32.5²

⇒ Area of path = 22/7 × 37.5 × 37.5 - 22/7 × 32.5 × 32.5

⇒ Area of path = 4419.6 - 3319.6

⇒ Area of path = 1100 m²

Hence, the area of the path is 1100 m².

Answer 2

Answer:

Given :-

• Length of path = 5 m
• Diameter of flower bed = 65 m

To Find :-

Area of path

Solution :-

At first

Outer radius = 65/2 + 5 = 32.5 + 5 = 37.5 m

Inner Radius = 32.5 m

Now,

Area of path = πR² - πr²

Area = π(R² - r²)

Area = 3.14(37.5² - 32.5²)

Area = 3.14(1406.25 - 1056.25)

Area = 3.14 × 350

Area = 1100 m²