A park is in the shape of a parallelogram with base 60m and corresponding height 30 m. A circular pond of radius 7 m is constructed in the park, find the area of the remaining part of the park.
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Answer:
Step-by-step explanation:
GIVEN
BASE OF PARALLELOGRAM = 60 CM
HEIGHT OF PARALLELOGRAM = 30CM
\begin{gathered}AREA \: \: OF \: \: PARK = (base) \times (height) \\ = (60) \times (30) \\ = 1800 \: \: {cm}^{2} \end{gathered}
AREAOFPARK=(base)×(height)
=(60)×(30)
=1800cm
2
RADIUS OF CIRCULAR POND = 7 CM
\begin{gathered}AREA \: \: OF \: \: POND = \pi \: {r}^{2} \\ \\ = \pi( {7}^{2} ) \\ \\ = \frac{22}{7} \times 7 \times 7 \\ \\ = 154 \: \: {cm}^{2} \end{gathered}
AREAOFPOND=πr
2
=π(7
2
)
=
7
22
×7×7
=154cm
2
NOW AREA OF REMAINING PART
\begin{gathered}AREA \: \: OF \: \: REMAINING \: \: PART \\ =1800 - 154 \\ = 1646\end{gathered}
AREAOFREMAININGPART
=1800−154
=1646
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