Question

There is a circular park in front of a shopping mall whose radius is 20cm. There is a gravel path of uniform width of 2m around the park.
i) A person takes five rounds of the
circular park. What distance he
covers?
ii) What is the area of gravelled path?




​

Answer 1

Answer:

i) 100 cm

ii) 88/7 m²

Step-by-step explanation:

i) As the person takes five rounds of 20 cm circular park so 5 × 20 = 100 cm

ii)

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

area of gravel path 22/7 × 2×2=88/7 m²

Answer 2

He covered 6.28 m and area of graveled path is 15.072 sq.m.

Step-by-step explanation:

1 m = 100 cm

Radius of circular path = 20 cm =0.2 m

Circumference of park = $2 \pi r = 2 \times \frac{22}{7} \times 0.2=1.256 m$

Distance traveled in 1 round = 1.256 m

Distance traveled in 5 rounds = $1.256 \times 5 = 6.28m$

There is a gravel path of uniform width of 2m around the park.

Outer radius = 0.2 m +2 m = 2.2 m

Area of graveled path = Outer area - inner area

Area of graveled path = $\pi (R^2-r^2)=3.14(2.2^2-0.2^2)=15.072 m^2$

Hence he covered 6.28 m and area of graveled path is 15.072 sq.m.

#Learn more:

The circumference of a circular park is 528cm find the radius

https://brainly.in/question/13740636