A rectangular park has dimensions 240m by 200m. A circular lawn is made inside the park. If the area of the park excluding the lawn in 32600 sq m, find the circumference of the lawn.
Answers
Given,
The dimensions of the park = 240m×200m
The area of the park excluding the circular lawn is 32600m².
To find,
The circumference of the lawn.
Solution,
Let,the radius of the lawn = r metres
Area of the lawn = πr² m²
Area of the whole park = 200×240 = 48000 m²
According to the question,
48000-πr² = 32600
πr² = 48000-32600
πr² = 15400
r² = 15400 × 7/22
r² = 4900
r = 70
Radius of the lawn = 70 metres
Circumference of the lawn = 2 × 22/7 × 70 = 440 m
Hence,the circumference of the circular lawn is 440 metres.
Answer:
440m
Step-by-step explanation:
The dimensions of the park = 240m×200m
The area of the park excluding the circular lawn is 32600m².
The circumference of the lawn.
Solution,
Let,the radius of the lawn = r metres
Area of the lawn = πr² m²
Area of the whole park = 200×240 = 48000 m²
ATQ
48000-πr² = 32600
πr² = 48000-32600
πr² = 15400
r² = 15400 × 7/22
r² = 4900
r = 70
Radius of the lawn = 70 metres
Circumference of the lawn = 2 × 22/7 × 70
= 440 m