Management Aptitude Test Dec 2019 Paper

Question : 108 of 200

Marks: +1, -0

Two small circular parks of diameters

16 {\m}

12{\m}

are to be replaced by a bigger circular park. What would be the radius of this new park, if the new park occupies the same space as the two small parks?

$10 {\m}$
$20 {\m}$
$15 {\m}$
$25 {\m}$

Validate

Solution:

Total area of two parks

=\πr_{1}^{2}+\πr_{2}^{2}

=\π(8^{2}+6^{2})

where,

r_{1}=8, r_{2}=6

=\π(64+36)=\π×100

Area of bigger park

=\π×100

\π× r^{2}=\π ×100

∴r=10\m

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