Question

itis proposed to build circular park equal in area to the sum of areas of two circular parks of diameter 16m and 11m in a locality . the radius of the new park would be​

Answer 1

Step-by-step explanation:

Let the radius of new park be r.

∴πr =π(8)² +π(6) ²

πr2= 36π+64π

πr²=100

r=10m

Answer 2

Answer:

area of the two parks

= π(r1^2 + r2^2)

= π((16/2)^2 + (11/2)^2)

= π(256 + 121)/4

= π * 377/4 = area of new park = πR^2 (let)

R= √377/2 m