Question

17: A circular flower bed is sunounded by a path 2 m wide. The diameter of the
flower bed is 32 m. What is the area of this path?​

Answer 1

Diameter of the circular flower bed=66m

∴ Radius of circular flower bed(r)=266=33m

∴ Radius of circular flower bed with 4 m wide path(R)=33+4=37m

According to the question,

Area of path=Area of bigger circle−Area of smaller circle

=πR2−πr2=π(R2−r2)

=π[(37)2−(33)2]

=3.14[(37+33)(37−33)] [∵a2−b2=(a+b)(a−b)]

=3.14×70×4

=879.20m2.

Therefore, the area of the path is 879.20m2.

Answer 2

Answer:

$\huge\mathfrak\red{Question}$

• 17: A circular flower bed is sunounded by a path 2 m wide. The diameter of the
• 17: A circular flower bed is sunounded by a path 2 m wide. The diameter of theflower bed is 32 m. What is the area of this path?

$\huge\mathfrak\red{solution}$

• area of path = area of outer circle minus area of inner circle.
• radius of inner circle is 16 m
• radius of outer circle is 18 m
• area of path = π × 18² - π × 16²
• = π × (18² - 16²)
• = π × (324 - 256)
• = π × 68
• 3.14 × 68
• 213.52 sq.m