Question

From the circular sheet of radius 7cm, a rectangle of length 12cm and breadth 7cm has been cut.
The area of remaining sheet

Answer 1

$Given, \\Radius \: of \:a \: Circular \:sheet (r) = 7 \:cm$

Dimensions of a rectangular sheet:

Length (l) = 12 cm,

Breadth (b) = 7 cm,

/* According to the problem given*/

$Area \: of \: remaining \:sheet \\= Area \:of \:the \: Circle - Area \:of \:the \: rectangle \\= \pi r^{2} - l \times b \\= \frac{22}{7} \times 7^{2} - 12 \times 7\\= 22 \times 7 - 12 \times 7 \\= 7 ( 22 - 12 ) \\= 7 \times 10 \\ = 70 \: cm^{2}$

Therefore.,

$\red { Area \: of \: remaining \:sheet } \green { = 70 \: cm^{2} }$

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