Question

A rectangle with one side of length 4cm is inscribed in a circle of radius 2.5cm. find the area of the rectangle

Answer 1

Hey!

Given,
Radius of circle = 2.5 cm
Diameter = 2*r  = 5 cm

Here, Diameter of rectangle = Diagonal of rectangle = 5 cm
Hence, Sides of triangle formed = 4 cm and 5 cm and x cm
We know,
Pythagoras Theorem ,
i.e H² = B² + P²
5² = x² + 4²
25 = x² + 16
9 = x²
3 = x

Hence sides of rect. = 3 cm, 4 cm
Area = l*b
        = 3*4
        = 12 cm²

Answer 2

Answer:

Diagonal of a rectangle = diameter of the circle = 2*2.5=5 cm

Applying Pythagoras theorem in triangle BCA ,

We get ,

AB=3 cm

Since ABCD is a rectangle

AB=DC=3 cm

Area of rectangle =length * breadth =3cm*4cm=12 cm Square

Ans =12 cm Square

Step-by-step explanation: