Question

from a rectangular metal of sheet of length 11 cm and breadth 8 CM , three circular plates of radii 3 CM and 2 CM and 1 cm are cut thr area of the remaining part ( in cm2) is equal to the area of the new circle . the area of thr new circle (in cm2) is ​

Answer 1

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AREA OF RECTANGULAR METAL SHEET=(11×8)cm²

=88cm²

AREA OF FIRST CIRCLE=π r²

=22/7 × (3)²

=22/7 × 9

=198/7cm²

AREA OF SECOND CIRCLE=π r²

=22/7 × (2)²

=22/7 × 4

=88/7cm²

AREA OF THIRD CIRCLE=π r²

=22/7 × (1)²

=22/7 × 1

=22/7

THEREFORE,TOTAL AREA COVERED BY THREE CIRCLES={(198/7)+(88/7)+(22/7)}cm²

={(198+88+22)/7}cm²

=308/7cm²

=44cm²

THEREFORE,AREA OF REMAINING PART=(88‐44)cm²

=44cm²

As per question,

AREA OF THE REMAINING PART=AREA OF NEW CIRCLE

THEREFORE,AREA OF NEW CIRCLE=44cm²

ANSWER:–

AREA OF NEW CIRCLE=44cm²