Question

the area of the largest circle that can be drawn inside a rectangle with sides 7m×3.5m​

Answer 1

Analysis:

The largest circle that can been drawn inside the rectangle of length 7m and breadth 3.5m will have the radius 3.5m [the breadth of the rectangle]. Then by applying the formula of area of a circle, we will be able to derive the answer.

Solution:

Length of the rectangle = 7m

Breadth of the rectangle = 3.5m

Diameter of the largest circle that can be drawn = 3.5m

So, radius = 3.5/2 = 1.75m

Area of a circle = πr²

Substituting the values,

$\sf{\dfrac{22}{7}\times{1.75}\times{1.75}}$

$\sf{=\dfrac{22}{7}\times{3.0625}}$

$\sf{=9.625 m^2}$

Hence, the area of the largest circle that can be drawn inside the rectangle of measures 7m x 3.5m is 9.625m².

Important Area Formulae:

→ Area of a square = a²

→ Area of a rectangle = lb

→ Area of a circle = πr²

→ Area of a equilateral triangle = 1/2bh

→ Area of a parallelogram = bh

→ Area of a rhombus = bh and 1/2 x d1 x d2