Math, asked by MrAnonymo, 8 months ago

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

Answered by Anonymous
6

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.

Answered by brainymaniac101
1

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

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