II . Answer the following questions.
1. There is a circular lawn of radius 32 cm. A path 7 cm
width is laid around the lawn . What will be the area of
the path ?
2. A rectangular garden has dimensions 15 cm × 12 cm . A
path of 5 cm wide has to be constructed along its sides .
Find the area of the path.
Answers
Answer:
Step-by-step explanation:
uestion 1.
Find the area of a circular pathway whose outer radius is 32 cm and inner radius is 18 cm.
Solution:
Radius of the outer circle R = 32 cm
Radius of the inner circle r = 18 cm
Area of the circular pathway = π (R2 – r2) sq. units = 227 (322 – 182) cm2
= 227 × (32 + 18) × (32 – 18) cm2
= 227 × 50 × 14 cm2 = 2,200 cm2
Area of the circular pathway = 2,200 cm2
Question 2.
There is a circular lawn of radius 28 m. A path of 7 m width is laid around the lawn. What will be the area of the path?
Solution:
Radius of the circular lawn r = 28 m
Radius of the lawn with path = 28 + 7 m = 35 m
Area of the circular path = π (R2 – r2) sq. units
Area of the path = 227 (352 – 282) m2 = 227 × (35 + 28) (35 – 28) m2
= 227 × 63 × 7 m2 = 1386 m2
Area of the path = 1386 m2