Question

A circular path has to be constructed around a circular ground if the areas of the innner and outer circles are 1386m² and 616m² respectively find the width and area of the path

Answer 1

Answer:

Width: 7m

Area  : 770m²

Step-by-step explanation:

Please see the image attached with this answer

Let radius of outer circle be R

Let radius of inner circle be r

We know area of circle = π (radius)²

so, area of outer circle = πR²

                        1386m² = 22/7 × R²

                                 R² = 1386 × 7 / 22

                                 R² = 441

                                 R   =  21m

and  area of inner circle = πr²

                             616m² = 22/7 × r²

                                   r²  =  616 × 7 / 22

                                   r²  =  196

                                    r  =  14m

Therefore,

width of Path = radius of outer circle - radius of inner circle

width of Path = 21m - 14m

width of Path = 7m

Now,

Area of path = Area of outer circle - Area of inner circle

Area of path = 1386m² - 616m²

Area of path = 770m²

Hope you understand the answer and grasp the concept.

Best of luck for your bright future.

Regards:

Aakash Maurya