Question

diameter of a circular Garden is 54 M there is a 4.5 cm wide road around the garden find the area of the road​

Answer 1

Answer:

7.64 m²

Explanation:

Area of the garden = Pi × r² = Pi × (54/2)²

= 27² × Pi

Radius of the garden including the path = 27 m + 4.5 cm

= (27 + 4.5/100) m = 27.045

Area of the of the garden with path = Pi × (27.045)²

Area of the path = Pi × (27.045)² - Pi × 27²

= Pi(27.045² - 27²) m²

Using a² - b² = (a+b)(a-b)

= Pi × (27.045 + 27)(27.045 - 27) m²

= Pi × 54.045 × 0.045 m²

= 3.14 × 54.045 × 0.045 m²

~ 7.64 m²