Question

A circle circumscribes a rectangle with side 16cm and 12cm. What is the area of the circle? (i) 48 pei sq cm (ii) 50 pei sq cm (iii) 100 pei sq cm (iv) 200 pei sq cm​

Answer 1

Answer:

100π square cm is correct answer.

Step-by-step explanation:

$the \: diagonal \: of \: the \: rectangle \: is \: a \: diameter \: of \: the \: circle. \\ \\ now \: by \: pythagoras \: theorem \\ = > {(2r)}^{2} = {16}^{2} + {12}^{2} \\ = 256 + 144 \\ = 400 \\ = {20}^{2} \\ so \: r \: = 10cm \\ area \: = \pi \: {r}^{2} \\ = \pi \: \times 10 \times 10 {cm}^{2} \\ = 100\pi \: {cm}^{2}$

Done by Aritra kar.

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