Question

The area of the largest circle drawn inside the rectangle of dimensions 28cm x 20cm is​

Answer 1

Answer:

the given rectangle has dimensions 28cm ×20cm

so the largest circle which can be inscribed in the triangle will have a diameter of 20cm, which is the breadth of the circle.

hence radius r =10cm

area of the circle = πr²

                             = 3.14×10×10

                             = 314cm²

hence the area of the largest circle formed inside the given triangle is 314cm²

Answer 2

$\tt Dimensions = 28cm × 20cm \\ \\ \tt The\:largest\:circle\:drawn\:inside\:the\:rectangle \:has \\ \\ \tt \boxed{\bold{\underline{\green{\tt Breadth\: of \:rectangle = Diameter \:of \:circle}}}} \\ \\ \tt \implies d = 20 \\ \\ \tt \implies 2r = 20 \\ \\ \tt \implies r = 10 cm \\ \\ \tt \boxed{\bold{\underline{\green{\tt Area\:of\: circle = \pi {r}^{2} }}}} \\ \\ \tt \implies Area\:of\:circle = 3.14 × 100 \\ \\ \tt \implies Area\:of\:circle = 314\:{cm}^{2} \\ \\ \tt \therefore \boxed{\bold{\underline{\red {\tt Area\:of\:circle = 314 \: {cm}^{2} }}}}$