Question

a flowerbed in the park is semicircular. it has a radius of 2m. percy the park keeper wants to plant flowers that each need an area of 0.3m^2
a) how many of these flowers can percy plant in the flowerbed
b) what space does he have left?

Answer 1

Answer:

Given:

• The radius of the semicircular park (r)=2m
• The required area of the flower =0.3m²

Calculation:

a) ∴ The area of the semicircular park

$\frac{\pi {r}^{2} }{2} \\ = \frac{\pi \times 4}{2} = 2\pi \: {m}^{2}$

∴The number of flowers can percy plant in the flowerbed⇒

$\frac{2\pi}{0.3} = 20.9$

Approximately, 20 or 21 flower can percy in the flowerbed.

b) We take here 20 flowers, for a good value.

∴Area of 20 flowers=(20×0.3)m²=6m²

∴Park kepper has left=(2π-6)m²=(2×3.14-6)=6.28-6=0.28m²

It is your answer.Hope you understand.