A rectangular park is 60 m by 40 m. A semicircular pond of diameter 40 m is inside.
A rectangular park is 60 m by 40 m. A semicircular pond of diameter 40 m is inside. What percent of the park’s area does the pond occupy?
एक आयताकार पार्क 60 मीटर \(\times 40\) मीटर का है। इसके अदंर 40 मीटर व्यास वाला एक अर्धवृत्ताकार तालाब है। यह तालाब पार्क के क्षेत्रफल का कितना प्रतिशत है?
Detailed Solution & Logic
Correct Answer:
26.18%
Solution:
Area of park = $60 \times 40 = 2400 \text{ m}^2$
Diameter of semicircle = 40 m ⇒ radius = 20 m
Area of semicircular pond = $\frac{1}{2} \pi r^2 = \frac{1}{2} \pi \times 20^2 = 200\pi$
Using $\pi \approx 3.14$:
Area ≈ $200 \times 3.14 = 628 \text{ m}^2$
Percentage of park occupied = $\frac{628}{2400} \times 100 \approx 26.17%$
Final Answer:
👉 ≈ 26.17%
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