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The diagram shows a circular pond with a path around it. the Pond has a radius of 6 m. The path has a width of 1 m. Workout the area of the path. Give your answer correct to three significant figures.

Sagot :

Starboy653521idn

A N S W E R :

Given :

☄ Radius of circular pond = 6 m

☄ The path has a width = 1 m

To Find :

☄ Area of the path = ?

Formula we have to use here :

☄ Area of path = Length of path × width

☄ Length of path = Circumference of pond

Solution :

☄ Area of the path is 37.72 m²

Required Explaination :

  • To caculate the area of path first we need to find the Length of path. To Calculate the Length of path we have to use given below formula :]

☃ Length of path = Circumference of pond ☃

Now, subsitute the given values in above formula we get :

→ Length of path = Circumference of pond

→ Length of path = 2πr

→ Length of path = 2 × 22/7 × 6

→ Length of path = 264/7 m

  • Hence,the Length of the path is 264/7 m.

Now,let's find the area of the path :

→ Area of path = Length of path × width

→ Area of path = 264/7 × 1

→ Area of path = 37.72 m²

  • Hence,the area of the path is 37.72 m².