Question

A circular garden has a 2.1 m wide bed of flowers along its boundary on the inside encircling a grass lawn. If total area of the garden is 260.26m2 , find the area of the grass lawn​

Answer 1

Answer:

area of grass lawn=$153.9m^{2}$

Step-by-step explanation:

area of circle=$\pi$$r^{2}$

(since area is given)

1. 260.26=$\pi$$r^{2}$

    2. $\frac{260.26}{\pi }$=$r^{2}$

    3. r=$\sqrt{\frac{260.26}{\pi } }$

    4.r=9.1 m

radius of grass lawn=9.1-2.1

                                 =7 m

area of grass lawn=$\pi$$7^{2}$

                              =$153.9m^{2}$