Question

a circular grassy plot of land 60 metres in diameter has a path of 5 metre wide running around it on the outside find the area of the path​

Answer 1

Answer:

★ 1021.42 cm² ★

Step-by-step explanation:

Given:

• Diameter of circular grassy plot is 60 m
• Width of the path that is running round its outside is 5 m .

To Find:

• Area of the path

Solution:

→ Radius of inner circle { r } = Diameter/2

$\small\implies{\sf }$ Radius = 60/2 = 30 m

† Radius of outer circle = Radius of inner circle + Width of the path

→ Radius of outer circle{ R } = 30 + 5 = 35 m

• These two circle forms a ring •

★ We know that area of ring = πR² – πr²

$\small\implies{\sf }$ Area of ring = π ( R² – r² )

$\small\implies{\sf }$ Area of ring= π ( 35² – 30² )

$\small\implies{\sf }$ Area of ring = π ( 1225 – 900 )

$\small\implies{\sf }$ Area of ring= 22/7 x 325

$\small\implies{\sf }$ Area of ring= 7150/7 = 1021.42 cm²

Hence, Area of Path is 1021.42 cm²