It is proposed to build a single circular park equal in area to the sum of…
2016
It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m. The radius of the new park would be
- A.
10 m
10 मी - B.
15 m
15 मी - C.
20 m
20 मी - D.
24 m
24 मी
Attempted by 1 students.
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Correct answer: A
First, find the radii of the two existing parks.
The radius is half the diameter, so r1 = 8 m and r2 = 6 m.
Next, calculate the area of each park using A = πr².
Area 1 is 64π m² and Area 2 is 36π m².
The total area of the new park is the sum: 100π m².
Finally, find the radius R of the new park where πR² = 100π.
Dividing by π gives R² = 100, so R = 10 m.