Will it be true to say that the perimeter of a square circumscribing a circle of radius a cm is 8a cm? Give reasons for your answer

Solution:

Let us consider a circle inscribed inside a square

We know that

Side of square = Diameter of circle

AB = 2a

The perimeter of square = 4 × AB

= 4 × 2a

= 8a cm

Therefore, the statement is true.

✦ Try This: What is the perimeter of a square with side 6cm?

We know that

Perimeter of a square = 4 × side

It is given that

Side = 6 cm

So we get

Perimeter of a square = 4 × 6 = 24 cm

Therefore, the perimeter is 24 cm.

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

NCERT Exemplar Class 10 Maths Exercise 11.2 Problem 2

Will it be true to say that the perimeter of a square circumscribing a circle of radius a cm is 8a cm? Give reasons for your answer

Summary:

The statement “Will it be true to say that the perimeter of a square circumscribing a circle of radius a cm is 8a cm” is true

☛ Related Questions:

• In Fig 11.3, a square is inscribed in a circle of diameter d and another square is circumscribing th . . . .
• Is it true to say that area of a segment of a circle is less than the area of its corresponding sect . . . .
• Is it true that the distance travelled by a circular wheel of diameter d cm in one revolution is 2 π . . . .