The inner circumference of a circular track is 242 metre the track is

1.	The inner circumference of a circular track is 242 metre the track is uniformly 7 metre wide find the area of the track
Answer» GIVEN :- Inner CIRCUMFERENCE = 242 m Width of the track = 7 m To Find :- Area of the truck Solution :- RADIUS of the circle :- $:\implies\:\sf{ 2 \pi r=242}$ $:\implies\:\sf{ 2 \times \dfrac{22}{7} \times r=242}$ $:\implies\:\sf{ \dfrac{7}{44} \times r=242}$ $:\implies\:\sf{r= \dfrac{7}{44} \times 242}$ $:\implies\:\sf{r= \dfrac{7}{2} \times 11}$ $:\implies\:\sf{r= \dfrac{77}{2} }$ $:\implies\:\sf\pink{r= 38.5\:m }$ Hence, Inner Radius = 38.5 m Outer radius of the circle :- $:\implies\:\sf{Inner\:Radius +Width \:of\:the\:track}$ $:\implies\:\sf{38.5 +7}$ $:\implies\:\sf\blue{45.5 \:m}$ Area along with the track :- $:\implies\:\sf{\pi r^2}$ $:\implies\:\sf{\dfrac{22}{7}\times 45.5 \times 45.5 }$ $:\implies\:\sf{45545.\:\dfrac{5}{7} }$ $:\implies\:\sf\blue{6506.5 \:m^2 }$ Area without track :- $:\implies\:\sf{\pi r^2}$ $:\implies\:\sf{\dfrac{22}{7}\times 38.5 \times 38.5 }$ $:\implies\:\sf{32609.\:\dfrac{5}{7} }$ $:\implies\:\sf\purple{4658.5\:m^2}$ Area of the track :- $:\implies\:\sf{Area\:along\:with\:track-Area\:without\:track }$ $:\implies\:\sf{6506.5-4658.5 }$ $:\implies\:\sf\purple{<klux>1848</klux>\:m^2 }$ Therefore, Area of the track = 1848 m²