Question

Following figure depicts a park where two opposite sides are parallel and left and right ends are semi-circular in shape. It has a 7m wide track for walking.
Two friends Seema and Meena went to the park. Meena said that area of the track is 4066m². Is she right? Explain.

Answer 1

No, she is wrong

Area of track=3066 square meter

Step-by-step explanation:

Width of path=7m

Length of rectangle shape=120 m

Area of rectangle shape=$L\times B$

Area of rectangle shape=$120\times 7=840m^2$

Diameter of outer semi circle=d=70 m

Radius of outer semi circle=$\frac{d}{2}=\frac{70}{2}=35m$

Diameter of inner circle=$70-(7+7)=56 m$

Radius of inner circle=$\frac{56}{2}=28 m$

Area of semi-circular shape=area of outer semi-circle-area of inner circle

Area of semi-circular shape=$\frac{1}{2}\pi (35)^2-\frac{1}{2}\pi (28)^2$

Where area of semi-circle=$\frac{1}{2}\pi r^2$

$\pi=\frac{22}{7}$

Area of semi-circular shape=$\frac{1}{2}\times \frac{22}{7}(1225-784)$

Area of semi-circular shape=693 square meter

Area of track=2(Area of rectangle shape+Area of semi-circular shape)

Area of track=$2(693+840)=3066 m^2$

Area of track=$3066 m^2$

Hence, she is wrong.

#Learns more:

https://brainly.in/question/12764010:answered by brainly teacher