Question

MCQ on Area Related To Circles Class 10.
The perimeter (in cm) of a square circumscribing a circle of radius a cm, is
(a) 8 a
(b) 4 a
(c) 2 a
(d) 16 a

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The perimeter (in cm) of a square circumscribing a circle of radius a cm, is

(a) 8a

(b) 4a

(c) 2a

(d) 16a

CONCEPT TO BE IMPLEMENTED

Perimeter of a square

= 4 × Side of the square

EVALUATION

Here it is given that the radius of the circle = a cm

Since the square circumscribing a circle

So side of the square

= Diameter of the circle

= 2 × Radius of the circle

= 2 × a cm

= 2a cm

Hence the required perimeter of the square

= 4 × 2a cm

= 8a cm

FINAL ANSWER

Hence the correct option is (a) 8a

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ How many tiles of side 50 cm will be required to flour the the square hall fo side 8 m?

https://brainly.in/question/35572136

2. A rectangle is made from a 20 cm long thin wire .If the breadth of the rectangle is 3 cm , then what is the length of th...

https://brainly.in/question/34792847

Answer 2

From the given question the correct answer is:

(a) 8 a

The perimeter (in cm) of a square circumscribing a circle of radius a cm, is 8a cm

Given:

the radius of the circle = a cm

the square circumscribing a circle

To find:

The perimeter (in cm) of a square

Concept used:

Perimeter of a square = 4 × Side of the square

Solution:

 given that the radius of the circle = a cm

Since the square circumscribing a circle

So side of the square = Diameter of the circle

                                   = 2 × Radius of the circle

                                    = 2 × a cm

                                   = 2a cm

So, the required perimeter of the square

Now,

we know that,

Perimeter of a square = 4 × Side of the square

                                     = 4 × 2a cm

                                     = 8a cm

Hence ,The perimeter (in cm) of a square circumscribing a circle of radius a cm, is 8a cm