Is it true to say that area of a square inscribed in a circle of diameter p cm is p² cm²? Why

Solution:

We know that

If a square is inscribed in a circle the diameter of circle is equal to the diagonal of the square

Consider a as the side of the square

So the perimeter p² = a² + a²

p² = 2a²

a² = p²/2

So the area of square is a² = p²/2

Therefore, the statement is false.

✦ Try This: Is the area of the circle inscribed in a square of side a cm, a² cm²? Give reasons for your answer.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 12

NCERT Exemplar Class 10 Maths Exercise 11.2 Problem 14

Is it true to say that area of a square inscribed in a circle of diameter p cm is p² cm²? Why

Summary:

The area of a square is defined as the number of square units needed to fill a square. The statement “area of a square inscribed in a circle of diameter p cm is p² cm²” is false

☛ Related Questions:

• Find the diameter of the circle whose area is equal to the sum of the areas of the two circles of di . . . .
• Find the area of a sector of circle of radius 21 cm and central angle 120°
• In Fig 11.4, a circle of radius 7.5 cm is inscribed in a square. Find the area of the shaded region . . . .