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Question
A park is in the form of a rectangle 120 m by 90 m. At the centre of the park, there is a circular lawn as shown in the figure. The area of the park excluding the lawn is 2950 m^2. Find the radius of the circular lawn. [Given, π = 3.14]
A park is in the form of a rectangle 120 m by 90 m. At the centre of the park, there is a circular lawn as shown in the figure. The area of the park excluding the lawn is 2950 m^2. Find the radius of the circular lawn. [Given, π = 3.14]
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Solution
Area of rec. park=(120×90)m²=10800m²
Area of rec. park excluding lawn=2950m²
Area of circular lawn=(10800 - 2950)m²
=7850m²
Let the radius be = r
7850/3.14 = 3.14r²/3.14
→2500 = r²
→√2500 = √r²
→50 = r
→r = 50
Radius = 50m
Area of rec. park excluding lawn=2950m²
Area of circular lawn=(10800 - 2950)m²
=7850m²
Let the radius be = r
7850/3.14 = 3.14r²/3.14
→2500 = r²
→√2500 = √r²
→50 = r
→r = 50
Radius = 50m
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