in a figure,a circle is inscribed in a square of side 4cm and another ciccle is circumscribing the square Proove - Maths - Areas Related to Circles

Question

in a figure,a circle is inscribed in a square of side 4cm and
another ciccle is circumscribing the square Proove that the area of
the circumscribed ciccle is two times the area of the inscribed
circle
please i want the answer too fast!its an emergency

Lalit Mehra · Accepted Answer

ABCD is a square of side 4 cm Let r and R be the radius of the inscribed and circumscribed circle respectively Diameter of the inscribed circle = 2r âˆ´ 2r = 4 cm â‡’ r = 2 cm Diameter of the circumscribed circle = Length of diagonal of the square $∴ 2 R = \sqrt{2} \times Side of the square \Rightarrow 2 R = 4 \sqrt{2} cm \Rightarrow R = 2 \sqrt{2} cm \frac{Area of circumscribed}{Area of inscribed circle} = \frac{π R^{2}}{π r^{2}} = (\frac{R}{r})^{2} = (\frac{2 \sqrt{2}}{2})^{2} = {(\sqrt{2})}^{2} = 2$ âˆ´ Area of circumscribed circle = 2 Ã— Area of inscribed circle

in a figure,a circle is inscribed in a square of side 4cm and another ciccle is circumscribing the square.Proove that the area of the circumscribed ciccle is two times the area of the inscribed circle. please i want the answer too fast!its an emergency.

in a figure,a circle is inscribed in a square of side 4cm and another ciccle is circumscribing the square.Proove that the area of the circumscribed ciccle is two times the area of the inscribed circle.

please i want the answer too fast!its an emergency.