Maths-
General
Easy
Question
A rectangle with one side 4 cm inscribed in a circle of radius 2.5 cm. Find the area of the rectangle.
Hint:
The correct answer is: 12 cm2
It is given that radius of the circle = 2.5 cm
AC = 2 × radius = 5 cm
Length of the rectangle, AB = 4 cm ( given)
We need to find breadth of the rectangle i.e. BC
Using Pythagoras Theorem
AC2 = AB2 + BC2
52 = 42 + BC2
25 – 16 = BC2
9 = BC2 BC = 3 cm
Area of rectangle = length breadth
= 4 × 3 = 12 cm2
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