Question

Rectangle l=6cm h=5cm circle radius =3cm

Answer 1

A rectangle with one side equal to 6 cm is inscribed in a circle of radius 5 cm. What is the area of the rectangle?

Let ABCD is rectangle inscribed in a circle of radius 5 cm, in which AB= 6 cm.

Join. diagonal A to C. . angle ABC. 90° , therefore diagonal AC is also the

diameter of the circle .

In right angled triangle ABC :-

AB^2+BC^2 = AC^2

6^2 + BC^2 = 10^2. or. BC^2. = 100–36 =64.

BC= 8cm.

Area of rectangle ABCD. = AB×BC. = 6 cm. × 8 cm. = 48 cm^2