You are Arun/Arthi, a resident of ABC Colony, Sagar Nagar,Ghaziabad, Uttar Pradesh. You have been noticing that many people are visiting the park near your house without wearing masks. Many children from your colony also play there in the evenings. Write a letter to the manager of the association,complaining about this issue and highlight the importance of continuing to adhere to the covid prevention rules and regulations. Suggest few ways to spread awareness among the people visiting the park. Word limit- 150 words
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Explanation:
Radius, r = 4, and center (h, k) = (-2, 3).
We know that the equation of a circle with centre (h, k) and radius r is given as
→ (x – h)² + (y – k)² = r² \: \: \: ….(1)→(x–h)²+(y–k)²=r²….(1)
Now, substitute the radius and center values in (1), we get
Therefore, the equation of the circle is
→ (x + 2)²+ (y – 3)² = (4)²→(x+2)²+(y–3)²=(4)²
→ x²+ 4x + 4 + y² – 6y + 9 = 16→x²+4x+4+y²–6y+9=16
Now, simplify the above equation, we get:
→ x² + y²+ 4x – 6y – 3 = 0→x²+y²+4x–6y–3=0
Thus, the equation of a circle with center (-2, 3) and radius 4 is :
→ x² + y²+ 4x – 6y – 3 = 0→x²+y²+4x–6y–3=0
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