Question

the side of a square is 10 cm. find area of inscribed and circumbed circle

Answer 1

Hi Friends ✋✋


When it is circumscribed

the diameter will be square's side

therefore r = 5cm

area of circle = πr²
= 22/7 × 5 × 5 = 78.57cm²

-----------------------------------------------------------------'

when it is inscribed

the diameter will be it's diagonal


r = 5√2

area of circle = πr²
= 22/7 × 5√2 × 5√2 = 157.14cm²



Hope it Helps

Answer 2

Answer:

Case 1 - $A=78.57 cm^2$

Case 2- $A=157.14 cm^2$

Step-by-step explanation:

Given : The side of a square is 10 cm.

To find : Area of inscribed and circumscribed circle?

Solution :

Case 1 - When circle is circumscribed,

Then the diameter of the circle will be the square's side

So, side=10=diameter

i.e, radius of the circle is r=5 cm.

Area of the circle is

$A=\pi r^2$

$A=3.14\times 5^2$

$A=78.57 cm^2$

Case 2 - When circle is inscribed,

Then the diameter of the circle will be the square's diagonal

So, diagonal=$10\sqrt2$=diameter

i.e, radius of the circle is $r=5\sqrt2cm$

Area of the circle is

$A=\pi r^2$

$A=3.14\times (5\sqrt2)^2$

$A=157.14 cm^2$